Atkin-Lehner |
2- 3- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
117312cy |
Isogeny class |
Conductor |
117312 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-622740897792 = -1 · 222 · 35 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 3 -1 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3073,-76801] |
[a1,a2,a3,a4,a6] |
Generators |
[65:48:1] |
Generators of the group modulo torsion |
j |
-12246522625/2375568 |
j-invariant |
L |
9.5727564158608 |
L(r)(E,1)/r! |
Ω |
0.31727719934616 |
Real period |
R |
3.0171586187603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000052678 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117312k1 29328h1 |
Quadratic twists by: -4 8 |