Atkin-Lehner |
5+ 7- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
123025l |
Isogeny class |
Conductor |
123025 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
107136 |
Modular degree for the optimal curve |
Δ |
80519001325 = 52 · 73 · 193 · 372 |
Discriminant |
Eigenvalues |
-1 -1 5+ 7- -3 -1 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1148,-6624] |
[a1,a2,a3,a4,a6] |
Generators |
[184:2368:1] [-82:555:8] |
Generators of the group modulo torsion |
j |
6693187811305/3220760053 |
j-invariant |
L |
5.6550054575125 |
L(r)(E,1)/r! |
Ω |
0.860433252996 |
Real period |
R |
0.36512648550832 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005758 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123025m1 |
Quadratic twists by: 5 |