Atkin-Lehner |
2+ 3+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
124656l |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
204288 |
Modular degree for the optimal curve |
Δ |
19402659903312 = 24 · 34 · 710 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 1 1 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8003,178830] |
[a1,a2,a3,a4,a6] |
Generators |
[-518:5193:8] |
Generators of the group modulo torsion |
j |
12544000/4293 |
j-invariant |
L |
6.4978653283801 |
L(r)(E,1)/r! |
Ω |
0.63076368058095 |
Real period |
R |
5.1507922034232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049405 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62328u1 124656v1 |
Quadratic twists by: -4 -7 |