Atkin-Lehner |
2+ 3+ 5- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
120450t |
Isogeny class |
Conductor |
120450 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
24806880 |
Modular degree for the optimal curve |
Δ |
3.0666201396019E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 5 11- -2 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-56144575,-161727522875] |
[a1,a2,a3,a4,a6] |
Generators |
[-5512268244652127112538007339809511252586553872294886967533889079:6094184171051007369738327937293134526938767447588625453772866975:1313142353419585985913492528074997584297711395457826610170929] |
Generators of the group modulo torsion |
j |
50105694436013099207065/78505475573809152 |
j-invariant |
L |
5.5046044016546 |
L(r)(E,1)/r! |
Ω |
0.055158630098263 |
Real period |
R |
99.795886733378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120450cg1 |
Quadratic twists by: 5 |