Atkin-Lehner |
2- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
115150cs |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
746496 |
Modular degree for the optimal curve |
Δ |
-34637120000000 = -1 · 212 · 57 · 72 · 472 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- -2 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20355,1158147] |
[a1,a2,a3,a4,a6] |
Generators |
[459:9170:1] [-141:1170:1] |
Generators of the group modulo torsion |
j |
-1218150432009/45240320 |
j-invariant |
L |
10.759475811448 |
L(r)(E,1)/r! |
Ω |
0.64922075399692 |
Real period |
R |
0.17263445805957 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000077 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23030m1 115150bl1 |
Quadratic twists by: 5 -7 |