Atkin-Lehner |
2- 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304gu |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
-268930040871518208 = -1 · 218 · 34 · 78 · 133 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ -5 13- 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,62655,24230079] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:-4704:1] [-129:3744:1] |
Generators of the group modulo torsion |
j |
17999471/177957 |
j-invariant |
L |
10.756492934781 |
L(r)(E,1)/r! |
Ω |
0.22758111532428 |
Real period |
R |
0.32822524612667 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001547 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304h1 30576bj1 122304fs1 |
Quadratic twists by: -4 8 -7 |