Atkin-Lehner |
2- 3- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
64974bx |
Isogeny class |
Conductor |
64974 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2088576 |
Modular degree for the optimal curve |
Δ |
-2.361480861087E+20 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -2 13+ 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2226316,-1477144936] |
[a1,a2,a3,a4,a6] |
Generators |
[143804501472170:-12117720187827556:19573852375] |
Generators of the group modulo torsion |
j |
-24905087205614147556241/4819348696095929736 |
j-invariant |
L |
10.880332924699 |
L(r)(E,1)/r! |
Ω |
0.061158168660956 |
Real period |
R |
14.825401581562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64974bd1 |
Quadratic twists by: -7 |