Atkin-Lehner |
2- 3- 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
35190bl |
Isogeny class |
Conductor |
35190 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
466560 |
Modular degree for the optimal curve |
Δ |
-150785631000000000 = -1 · 29 · 36 · 59 · 17 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 6 -1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,607,18682481] |
[a1,a2,a3,a4,a6] |
j |
33980740919/206839000000000 |
j-invariant |
L |
4.6441654095978 |
L(r)(E,1)/r! |
Ω |
0.25800918942292 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3910f1 |
Quadratic twists by: -3 |