Atkin-Lehner |
2- 3+ 5- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
29370x |
Isogeny class |
Conductor |
29370 |
Conductor |
∏ cp |
495 |
Product of Tamagawa factors cp |
deg |
104282640 |
Modular degree for the optimal curve |
Δ |
-1.2275593225961E+31 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11+ 5 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7860477015,-316811948600595] |
[a1,a2,a3,a4,a6] |
j |
-53711888017171801045793163661413361/12275593225961472000000000000000 |
j-invariant |
L |
3.9207499760546 |
L(r)(E,1)/r! |
Ω |
0.0079207070223324 |
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 |
88110s1 |
Quadratic twists by: -3 |