Atkin-Lehner |
2- 3+ 7+ 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
115038u |
Isogeny class |
Conductor |
115038 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
423936 |
Modular degree for the optimal curve |
Δ |
35373790879812 = 22 · 39 · 72 · 113 · 832 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11+ -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-38180,-2847581] |
[a1,a2,a3,a4,a6] |
Generators |
[14654:615991:8] |
Generators of the group modulo torsion |
j |
312701185546875/1797174764 |
j-invariant |
L |
8.6617628080618 |
L(r)(E,1)/r! |
Ω |
0.34165813850351 |
Real period |
R |
6.3380333779129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000075479 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115038b1 |
Quadratic twists by: -3 |