Atkin-Lehner |
2- 5+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
38480n |
Isogeny class |
Conductor |
38480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14080 |
Modular degree for the optimal curve |
Δ |
640307200 = 212 · 52 · 132 · 37 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 3 13+ -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-261,-1165] |
[a1,a2,a3,a4,a6] |
Generators |
[22:65:1] |
Generators of the group modulo torsion |
j |
481890304/156325 |
j-invariant |
L |
6.5532930184476 |
L(r)(E,1)/r! |
Ω |
1.2180432221941 |
Real period |
R |
1.3450452535341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2405b1 |
Quadratic twists by: -4 |