Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600fs |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-564715200000000 = -1 · 212 · 3 · 58 · 76 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -1 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16333,-1391963] |
[a1,a2,a3,a4,a6] |
j |
-2560/3 |
j-invariant |
L |
1.2122043083633 |
L(r)(E,1)/r! |
Ω |
0.20203401353511 |
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 |
117600ho1 117600ck1 2400be1 |
Quadratic twists by: -4 5 -7 |