Atkin-Lehner |
2- 3- 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
27306i |
Isogeny class |
Conductor |
27306 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
7810358528043795456 = 210 · 310 · 374 · 413 |
Discriminant |
Eigenvalues |
2- 3- 2 2 4 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-915314,309304433] |
[a1,a2,a3,a4,a6] |
j |
116333837454603168217/10713797706507264 |
j-invariant |
L |
6.8347286900815 |
L(r)(E,1)/r! |
Ω |
0.22782428966936 |
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 |
9102a1 |
Quadratic twists by: -3 |