Atkin-Lehner |
2+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
37312n |
Isogeny class |
Conductor |
37312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-420282368 = -1 · 216 · 112 · 53 |
Discriminant |
Eigenvalues |
2+ 1 0 2 11- 3 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3233,69695] |
[a1,a2,a3,a4,a6] |
Generators |
[41:88:1] |
Generators of the group modulo torsion |
j |
-57042062500/6413 |
j-invariant |
L |
7.6628698928625 |
L(r)(E,1)/r! |
Ω |
1.6123257160909 |
Real period |
R |
1.1881702649143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37312w1 4664a1 |
Quadratic twists by: -4 8 |