Atkin-Lehner |
2+ 3+ 5- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115050r |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
698880 |
Modular degree for the optimal curve |
Δ |
-2584483200000000 = -1 · 213 · 34 · 58 · 132 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 -4 13- 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11075,2482125] |
[a1,a2,a3,a4,a6] |
Generators |
[35:-1480:1] |
Generators of the group modulo torsion |
j |
-384641511385/6616276992 |
j-invariant |
L |
3.8013905277863 |
L(r)(E,1)/r! |
Ω |
0.38483713548977 |
Real period |
R |
0.82316001678542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033865 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115050bv1 |
Quadratic twists by: 5 |