Atkin-Lehner |
2- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
51520bo |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-5.4247375223926E+21 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ -6 1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10425241,-13435530305] |
[a1,a2,a3,a4,a6] |
Generators |
[30666:433895:8] |
Generators of the group modulo torsion |
j |
-122372013839654770813696/5297595236711512175 |
j-invariant |
L |
5.3191569209542 |
L(r)(E,1)/r! |
Ω |
0.04190343908739 |
Real period |
R |
3.5260676004868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51520k2 12880x2 |
Quadratic twists by: -4 8 |