Atkin-Lehner |
2- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
115150ce |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
6694922332000000 = 28 · 56 · 73 · 474 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 -4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-230880,42575747] |
[a1,a2,a3,a4,a6] |
Generators |
[345:-2147:1] [219:1465:1] |
Generators of the group modulo torsion |
j |
253960833546783/1249198336 |
j-invariant |
L |
16.647019349589 |
L(r)(E,1)/r! |
Ω |
0.42367129636898 |
Real period |
R |
1.2278843510356 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999976973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4606a2 115150bq2 |
Quadratic twists by: 5 -7 |