Atkin-Lehner |
2+ 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
24794v |
Isogeny class |
Conductor |
24794 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
53346733853644 = 22 · 77 · 113 · 233 |
Discriminant |
Eigenvalues |
2+ -1 -3 7- 11- 1 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-15264,628804] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:1152:1] [-90:1178:1] |
Generators of the group modulo torsion |
j |
3343374301177/453439756 |
j-invariant |
L |
4.2316933312421 |
L(r)(E,1)/r! |
Ω |
0.60660029363332 |
Real period |
R |
0.096890026441403 |
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 |
3542i1 |
Quadratic twists by: -7 |