Atkin-Lehner |
2- 3+ 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
91350db |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-86925234375000 = -1 · 23 · 33 · 510 · 72 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4730,466897] |
[a1,a2,a3,a4,a6] |
Generators |
[55:-637:1] [-61:755:1] |
Generators of the group modulo torsion |
j |
-27735580683/206045000 |
j-invariant |
L |
15.508142964315 |
L(r)(E,1)/r! |
Ω |
0.51979527325454 |
Real period |
R |
1.2431290871226 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997148 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91350f2 18270j2 |
Quadratic twists by: -3 5 |