Atkin-Lehner |
3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
36603m |
Isogeny class |
Conductor |
36603 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12441600 |
Modular degree for the optimal curve |
Δ |
3.366175225051E+24 |
Discriminant |
Eigenvalues |
1 3- -2 7- 2 -4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1279020843,17606254497880] |
[a1,a2,a3,a4,a6] |
Generators |
[176460391672:-282415523813828:68921] |
Generators of the group modulo torsion |
j |
2697992943085423885932577/39248309073591009 |
j-invariant |
L |
5.1515334916055 |
L(r)(E,1)/r! |
Ω |
0.072506696474593 |
Real period |
R |
17.762267976899 |
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 |
12201e1 5229b1 |
Quadratic twists by: -3 -7 |