Atkin-Lehner |
3+ 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
33825h |
Isogeny class |
Conductor |
33825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
117504 |
Modular degree for the optimal curve |
Δ |
-168248847633075 = -1 · 39 · 52 · 112 · 414 |
Discriminant |
Eigenvalues |
0 3+ 5+ -3 11- -3 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-50533,4433508] |
[a1,a2,a3,a4,a6] |
Generators |
[126:-226:1] |
Generators of the group modulo torsion |
j |
-570844134768640000/6729953905323 |
j-invariant |
L |
2.4738105290606 |
L(r)(E,1)/r! |
Ω |
0.57515413702985 |
Real period |
R |
0.53764077527014 |
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 |
101475bd1 33825bb1 |
Quadratic twists by: -3 5 |