Atkin-Lehner |
2+ 3- 7+ 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
115038k |
Isogeny class |
Conductor |
115038 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
95232 |
Modular degree for the optimal curve |
Δ |
-754764318 = -1 · 2 · 310 · 7 · 11 · 83 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 11+ 1 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,216,454] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-43:1] |
Generators of the group modulo torsion |
j |
1524845951/1035342 |
j-invariant |
L |
2.8688442876284 |
L(r)(E,1)/r! |
Ω |
1.0069043816295 |
Real period |
R |
0.71229312757594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010406 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38346l1 |
Quadratic twists by: -3 |