Atkin-Lehner |
2+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
90944by |
Isogeny class |
Conductor |
90944 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
-1870485226295590912 = -1 · 216 · 79 · 294 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 0 4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-417153,-122678527] |
[a1,a2,a3,a4,a6] |
Generators |
[3374164353:79831147220:3176523] |
Generators of the group modulo torsion |
j |
-1041220466500/242597383 |
j-invariant |
L |
10.421776127605 |
L(r)(E,1)/r! |
Ω |
0.092781609956547 |
Real period |
R |
14.04073518437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004385 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90944eg1 11368g1 12992t1 |
Quadratic twists by: -4 8 -7 |