Atkin-Lehner |
2- 3+ 5+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
34980d |
Isogeny class |
Conductor |
34980 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3078240000 = 28 · 3 · 54 · 112 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-756,7800] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:22:1] |
Generators of the group modulo torsion |
j |
186906097744/12024375 |
j-invariant |
L |
3.7060632991223 |
L(r)(E,1)/r! |
Ω |
1.3967810328204 |
Real period |
R |
2.6532886773519 |
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 |
104940be2 |
Quadratic twists by: -3 |