Atkin-Lehner |
2+ 3- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550be |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29352960 |
Modular degree for the optimal curve |
Δ |
-1.7752969530929E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 7 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,13837383,60963474541] |
[a1,a2,a3,a4,a6] |
j |
41158354945175975/249369558294528 |
j-invariant |
L |
2.1814968976138 |
L(r)(E,1)/r! |
Ω |
0.060597144143004 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38850bv1 116550ft1 |
Quadratic twists by: -3 5 |