Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
126350cp |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
18662400 |
Modular degree for the optimal curve |
Δ |
-1.9622272414528E+22 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ -3 -7 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14756063,-22835913383] |
[a1,a2,a3,a4,a6] |
Generators |
[6262:357869:1] |
Generators of the group modulo torsion |
j |
-483385461758641/26693632000 |
j-invariant |
L |
4.7700542613564 |
L(r)(E,1)/r! |
Ω |
0.038391561958584 |
Real period |
R |
0.51769776130119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000206373 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25270l1 6650d1 |
Quadratic twists by: 5 -19 |