Atkin-Lehner |
3+ 5+ 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
90525f |
Isogeny class |
Conductor |
90525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-848671875 = -1 · 32 · 57 · 17 · 71 |
Discriminant |
Eigenvalues |
0 3+ 5+ -2 -1 3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-633,-6082] |
[a1,a2,a3,a4,a6] |
Generators |
[72:562:1] |
Generators of the group modulo torsion |
j |
-1798045696/54315 |
j-invariant |
L |
4.3675318062481 |
L(r)(E,1)/r! |
Ω |
0.47499491534396 |
Real period |
R |
2.2987255613602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999830084 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18105i1 |
Quadratic twists by: 5 |