Atkin-Lehner |
2- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37180a |
Isogeny class |
Conductor |
37180 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-106903393442560 = -1 · 28 · 5 · 113 · 137 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11+ 13+ -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25688,1660932] |
[a1,a2,a3,a4,a6] |
Generators |
[104:338:1] [-52:1690:1] |
Generators of the group modulo torsion |
j |
-1517101056/86515 |
j-invariant |
L |
8.1464039352638 |
L(r)(E,1)/r! |
Ω |
0.5870188904206 |
Real period |
R |
1.1564653296233 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2860c1 |
Quadratic twists by: 13 |