Atkin-Lehner |
2+ 7- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
69454j |
Isogeny class |
Conductor |
69454 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-46120789792 = -1 · 25 · 74 · 114 · 41 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 11- -5 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2261,-42091] |
[a1,a2,a3,a4,a6] |
j |
-87329847033/3150112 |
j-invariant |
L |
1.3817396705165 |
L(r)(E,1)/r! |
Ω |
0.34543491473336 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69454l1 |
Quadratic twists by: -11 |