Atkin-Lehner |
2- 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
119600t |
Isogeny class |
Conductor |
119600 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
72938880 |
Modular degree for the optimal curve |
Δ |
2.0260517873839E+28 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 3 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1919540208,-31638015066412] |
[a1,a2,a3,a4,a6] |
Generators |
[-331294440226396:2947336121530186:11743520417] |
Generators of the group modulo torsion |
j |
19554889299927679706425/506512946845979008 |
j-invariant |
L |
9.0390563009163 |
L(r)(E,1)/r! |
Ω |
0.022844757241888 |
Real period |
R |
21.981839823387 |
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 |
14950u1 119600cm1 |
Quadratic twists by: -4 5 |