Atkin-Lehner |
2- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
69776t |
Isogeny class |
Conductor |
69776 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-9145679872 = -1 · 221 · 72 · 89 |
Discriminant |
Eigenvalues |
2- 2 4 7- 3 2 -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,264,4208] |
[a1,a2,a3,a4,a6] |
Generators |
[-980:4992:125] |
Generators of the group modulo torsion |
j |
10100279/45568 |
j-invariant |
L |
13.024922433437 |
L(r)(E,1)/r! |
Ω |
0.93034138174618 |
Real period |
R |
3.5000384506506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8722k1 69776g1 |
Quadratic twists by: -4 -7 |