Atkin-Lehner |
2- 11+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
115258m |
Isogeny class |
Conductor |
115258 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-67315730558362 = -1 · 2 · 113 · 138 · 31 |
Discriminant |
Eigenvalues |
2- -2 2 3 11+ 13+ -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-61942,5941662] |
[a1,a2,a3,a4,a6] |
Generators |
[-1346:27929:8] |
Generators of the group modulo torsion |
j |
-5445273626857/13946218 |
j-invariant |
L |
8.9732937214932 |
L(r)(E,1)/r! |
Ω |
0.62011153690702 |
Real period |
R |
7.235225604647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999803415 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8866f1 |
Quadratic twists by: 13 |