Atkin-Lehner |
2+ 7- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
100688j |
Isogeny class |
Conductor |
100688 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23680 |
Modular degree for the optimal curve |
Δ |
-12888064 = -1 · 211 · 7 · 29 · 31 |
Discriminant |
Eigenvalues |
2+ -2 3 7- 5 4 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,56,84] |
[a1,a2,a3,a4,a6] |
Generators |
[20:98:1] |
Generators of the group modulo torsion |
j |
9314926/6293 |
j-invariant |
L |
7.1000671799942 |
L(r)(E,1)/r! |
Ω |
1.4122858110549 |
Real period |
R |
2.5136792872699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973051 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50344a1 |
Quadratic twists by: -4 |