Atkin-Lehner |
2+ 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200bs |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-7465275021312000 = -1 · 214 · 312 · 53 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 4 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,26287,3810897] |
[a1,a2,a3,a4,a6] |
j |
980844844912/3645153819 |
j-invariant |
L |
1.1879280266389 |
L(r)(E,1)/r! |
Ω |
0.29698196954482 |
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 |
91200je1 11400bo1 91200ef1 |
Quadratic twists by: -4 8 5 |