Atkin-Lehner |
2- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
7406g |
Isogeny class |
Conductor |
7406 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
95335112516 = 22 · 7 · 237 |
Discriminant |
Eigenvalues |
2- 2 2 7+ -6 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2127,-35599] |
[a1,a2,a3,a4,a6] |
Generators |
[-11397816:22320469:373248] |
Generators of the group modulo torsion |
j |
7189057/644 |
j-invariant |
L |
8.4988322472089 |
L(r)(E,1)/r! |
Ω |
0.70702669327225 |
Real period |
R |
12.020525290035 |
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 |
59248bd1 66654k1 51842p1 322c1 |
Quadratic twists by: -4 -3 -7 -23 |