Atkin-Lehner |
2- 3+ 11- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
31746ba |
Isogeny class |
Conductor |
31746 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
-76702399488 = -1 · 210 · 32 · 113 · 132 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 11- 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,610,12251] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-149:1] |
Generators of the group modulo torsion |
j |
25099710884639/76702399488 |
j-invariant |
L |
4.9629427864793 |
L(r)(E,1)/r! |
Ω |
0.76707248654611 |
Real period |
R |
0.21566596262742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95238q1 |
Quadratic twists by: -3 |