Atkin-Lehner |
2- 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
109120bo |
Isogeny class |
Conductor |
109120 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
666624 |
Modular degree for the optimal curve |
Δ |
-16117578125000000 = -1 · 26 · 514 · 113 · 31 |
Discriminant |
Eigenvalues |
2- 0 5- -4 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,28973,5805696] |
[a1,a2,a3,a4,a6] |
Generators |
[52:2730:1] [372:8250:1] |
Generators of the group modulo torsion |
j |
42026588472931776/251837158203125 |
j-invariant |
L |
10.184372319561 |
L(r)(E,1)/r! |
Ω |
0.28343810357498 |
Real period |
R |
3.422053028506 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001833 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109120bl1 54560a2 |
Quadratic twists by: -4 8 |