Atkin-Lehner |
2- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
115150cf |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-7741304200 = -1 · 23 · 52 · 77 · 47 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -2 -4 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,260,3847] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:51:1] [655:16431:1] |
Generators of the group modulo torsion |
j |
663255/2632 |
j-invariant |
L |
16.557907446067 |
L(r)(E,1)/r! |
Ω |
0.93874825506201 |
Real period |
R |
1.4698569215276 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001672 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115150x1 16450l1 |
Quadratic twists by: 5 -7 |