Atkin-Lehner |
2+ 3+ 7+ 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
115038b |
Isogeny class |
Conductor |
115038 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
141312 |
Modular degree for the optimal curve |
Δ |
48523718628 = 22 · 33 · 72 · 113 · 832 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 11- -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4242,106880] |
[a1,a2,a3,a4,a6] |
Generators |
[3755:7709:125] [-43:478:1] |
Generators of the group modulo torsion |
j |
312701185546875/1797174764 |
j-invariant |
L |
8.4428508628839 |
L(r)(E,1)/r! |
Ω |
1.1360820654324 |
Real period |
R |
0.61929584744218 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999966531 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115038u1 |
Quadratic twists by: -3 |