Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
118580n |
Isogeny class |
Conductor |
118580 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
14672935558265600 = 28 · 52 · 76 · 117 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11- 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-357716,82022884] |
[a1,a2,a3,a4,a6] |
Generators |
[-488:11858:1] [-180:11858:1] |
Generators of the group modulo torsion |
j |
94875856/275 |
j-invariant |
L |
7.8320040706851 |
L(r)(E,1)/r! |
Ω |
0.39617934701394 |
Real period |
R |
0.82370145081125 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000869 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2420f2 10780i2 |
Quadratic twists by: -7 -11 |