Atkin-Lehner |
2- 3+ 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
30504c |
Isogeny class |
Conductor |
30504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19456 |
Modular degree for the optimal curve |
Δ |
-2134791936 = -1 · 28 · 38 · 31 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,316,-636] |
[a1,a2,a3,a4,a6] |
Generators |
[4:26:1] |
Generators of the group modulo torsion |
j |
13588449968/8339031 |
j-invariant |
L |
3.5372467988845 |
L(r)(E,1)/r! |
Ω |
0.8482103717178 |
Real period |
R |
2.0851235240857 |
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 |
61008c1 91512d1 |
Quadratic twists by: -4 -3 |