Atkin-Lehner |
2- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
24304x |
Isogeny class |
Conductor |
24304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-87105536 = -1 · 213 · 73 · 31 |
Discriminant |
Eigenvalues |
2- -3 -3 7- -6 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-259,1666] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-8:1] [-7:56:1] |
Generators of the group modulo torsion |
j |
-1367631/62 |
j-invariant |
L |
4.0286897350773 |
L(r)(E,1)/r! |
Ω |
1.8955311607593 |
Real period |
R |
0.26567023919729 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3038b1 97216ch1 24304s1 |
Quadratic twists by: -4 8 -7 |