Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200jk |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-5836800000000 = -1 · 218 · 3 · 58 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 3 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24833,1502463] |
[a1,a2,a3,a4,a6] |
Generators |
[-111:1704:1] |
Generators of the group modulo torsion |
j |
-16539745/57 |
j-invariant |
L |
7.1793830629335 |
L(r)(E,1)/r! |
Ω |
0.76134067118947 |
Real period |
R |
4.7149609433301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006239 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91200bx1 22800cn1 91200gg1 |
Quadratic twists by: -4 8 5 |