Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480i |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1180650240000 = 211 · 32 · 54 · 7 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3696,-67680] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:132:1] |
Generators of the group modulo torsion |
j |
2727138195938/576489375 |
j-invariant |
L |
3.9351510475342 |
L(r)(E,1)/r! |
Ω |
0.62143933099455 |
Real period |
R |
0.39576983335972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9240bb3 73920ic4 55440bl4 92400cb4 |
Quadratic twists by: -4 8 -3 5 |