Atkin-Lehner |
2- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
15392f |
Isogeny class |
Conductor |
15392 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
35063222272 = 212 · 132 · 373 |
Discriminant |
Eigenvalues |
2- -1 -2 3 -5 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1149,12373] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:148:1] [12:13:1] |
Generators of the group modulo torsion |
j |
40992251392/8560357 |
j-invariant |
L |
5.5434322378558 |
L(r)(E,1)/r! |
Ω |
1.0981086164222 |
Real period |
R |
0.42068032212803 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15392b1 30784b1 |
Quadratic twists by: -4 8 |