Atkin-Lehner |
2- 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
119700bg |
Isogeny class |
Conductor |
119700 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-296188485468750000 = -1 · 24 · 37 · 510 · 74 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 6 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,70800,-25160375] |
[a1,a2,a3,a4,a6] |
j |
215355490304/1625176875 |
j-invariant |
L |
3.6665231594598 |
L(r)(E,1)/r! |
Ω |
0.1527718313655 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39900s1 23940l1 |
Quadratic twists by: -3 5 |