Atkin-Lehner |
2- 3- 7+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
37674r |
Isogeny class |
Conductor |
37674 |
Conductor |
∏ cp |
1056 |
Product of Tamagawa factors cp |
deg |
1216512 |
Modular degree for the optimal curve |
Δ |
-2772657561076236288 = -1 · 222 · 38 · 72 · 132 · 233 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 0 13+ -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-127832,82054235] |
[a1,a2,a3,a4,a6] |
Generators |
[-243:10057:1] [-477:6097:1] |
Generators of the group modulo torsion |
j |
-316892346232279609/3803371140022272 |
j-invariant |
L |
10.251113726055 |
L(r)(E,1)/r! |
Ω |
0.21669791673299 |
Real period |
R |
0.17918943024684 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12558g1 |
Quadratic twists by: -3 |