Atkin-Lehner |
3+ 7+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
102921f |
Isogeny class |
Conductor |
102921 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-20576686767 = -1 · 3 · 72 · 136 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 0 7+ 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-88,6872] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:43:1] [-8:88:1] |
Generators of the group modulo torsion |
j |
-15625/4263 |
j-invariant |
L |
6.1166729589478 |
L(r)(E,1)/r! |
Ω |
0.98802148011324 |
Real period |
R |
3.0954149683547 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002862 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
609a1 |
Quadratic twists by: 13 |