Atkin-Lehner |
2- 3+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
69828p |
Isogeny class |
Conductor |
69828 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
16727040 |
Modular degree for the optimal curve |
Δ |
-5.2334530222348E+25 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11- -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,92919203,-47896002890] |
[a1,a2,a3,a4,a6] |
j |
37458737578627432448/22095372689637291 |
j-invariant |
L |
2.6662700916597 |
L(r)(E,1)/r! |
Ω |
0.037031529113499 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3036b1 |
Quadratic twists by: -23 |