Atkin-Lehner |
3- 5- 19- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
22515f |
Isogeny class |
Conductor |
22515 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
-2316455775 = -1 · 32 · 52 · 194 · 79 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 -4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,250,-1725] |
[a1,a2,a3,a4,a6] |
Generators |
[7:16:1] [70:565:1] |
Generators of the group modulo torsion |
j |
1727568035999/2316455775 |
j-invariant |
L |
5.6086610897601 |
L(r)(E,1)/r! |
Ω |
0.77594634622027 |
Real period |
R |
7.2281558088149 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
67545g1 112575e1 |
Quadratic twists by: -3 5 |