Atkin-Lehner |
2- 3+ 11- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
31746bg |
Isogeny class |
Conductor |
31746 |
Conductor |
∏ cp |
660 |
Product of Tamagawa factors cp |
deg |
316800 |
Modular degree for the optimal curve |
Δ |
-8928312705202176 = -1 · 211 · 32 · 115 · 133 · 372 |
Discriminant |
Eigenvalues |
2- 3+ -3 -3 11- 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-40662,5517267] |
[a1,a2,a3,a4,a6] |
Generators |
[11935:692273:343] [-231:1743:1] |
Generators of the group modulo torsion |
j |
-7435164605825934433/8928312705202176 |
j-invariant |
L |
8.5950221599707 |
L(r)(E,1)/r! |
Ω |
0.37244047648058 |
Real period |
R |
0.034966019191847 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95238x1 |
Quadratic twists by: -3 |