Atkin-Lehner |
2+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
115150p |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-2477217344000000 = -1 · 212 · 56 · 77 · 47 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -5 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,29375,1419125] |
[a1,a2,a3,a4,a6] |
Generators |
[34:1551:1] |
Generators of the group modulo torsion |
j |
1524845951/1347584 |
j-invariant |
L |
2.052594836658 |
L(r)(E,1)/r! |
Ω |
0.29818251968509 |
Real period |
R |
0.86046076142778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998694164 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4606i1 16450e1 |
Quadratic twists by: 5 -7 |