Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
26712o |
Isogeny class |
Conductor |
26712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-4088405373696 = -1 · 28 · 316 · 7 · 53 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 1 4 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12612,-553772] |
[a1,a2,a3,a4,a6] |
Generators |
[3284:188082:1] |
Generators of the group modulo torsion |
j |
-1188798106624/21907179 |
j-invariant |
L |
6.4408774256848 |
L(r)(E,1)/r! |
Ω |
0.22500847839333 |
Real period |
R |
3.5781304062828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53424d1 8904b1 |
Quadratic twists by: -4 -3 |