Atkin-Lehner |
2+ 3+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
79344d |
Isogeny class |
Conductor |
79344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-3296981232 = -1 · 24 · 39 · 192 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -3 1 3 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5319,149337] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:513:1] |
Generators of the group modulo torsion |
j |
-52844818176/10469 |
j-invariant |
L |
6.9094539975399 |
L(r)(E,1)/r! |
Ω |
1.373258766768 |
Real period |
R |
1.2578572522696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002102 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39672i1 79344b1 |
Quadratic twists by: -4 -3 |