Atkin-Lehner |
2- 3- 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
117438r |
Isogeny class |
Conductor |
117438 |
Conductor |
∏ cp |
208 |
Product of Tamagawa factors cp |
deg |
3514368 |
Modular degree for the optimal curve |
Δ |
-5.1417724488213E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 4 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,162392,-344062144] |
[a1,a2,a3,a4,a6] |
Generators |
[3080:169856:1] |
Generators of the group modulo torsion |
j |
3199266515375/347332831488 |
j-invariant |
L |
13.655982201724 |
L(r)(E,1)/r! |
Ω |
0.094816169081571 |
Real period |
R |
0.69243211444731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5106e1 |
Quadratic twists by: -23 |