Atkin-Lehner |
2- 3+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
125136j |
Isogeny class |
Conductor |
125136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
426240 |
Modular degree for the optimal curve |
Δ |
-1484243004209328 = -1 · 24 · 39 · 112 · 794 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 11- -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55080,-5309577] |
[a1,a2,a3,a4,a6] |
Generators |
[168648596806432:-10049948876922229:47280848896] |
Generators of the group modulo torsion |
j |
-58680557568000/4712959801 |
j-invariant |
L |
5.9048730769769 |
L(r)(E,1)/r! |
Ω |
0.15510549330902 |
Real period |
R |
19.035022370266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012194 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31284a1 125136g1 |
Quadratic twists by: -4 -3 |