Atkin-Lehner |
2- 37- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
125504h |
Isogeny class |
Conductor |
125504 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29696 |
Modular degree for the optimal curve |
Δ |
-6651712 = -1 · 26 · 37 · 532 |
Discriminant |
Eigenvalues |
2- 2 0 4 4 -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,32,-114] |
[a1,a2,a3,a4,a6] |
Generators |
[2951455650930:-84676671786329:3581577000] |
Generators of the group modulo torsion |
j |
54872000/103933 |
j-invariant |
L |
13.255628356606 |
L(r)(E,1)/r! |
Ω |
1.2398028193166 |
Real period |
R |
21.383445911418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000069982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125504i1 62752b2 |
Quadratic twists by: -4 8 |