Atkin-Lehner |
2+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
42560bj |
Isogeny class |
Conductor |
42560 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-7297976000 = -1 · 26 · 53 · 7 · 194 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 3 1 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1015,12775] |
[a1,a2,a3,a4,a6] |
Generators |
[150:1805:1] |
Generators of the group modulo torsion |
j |
-1808713045504/114030875 |
j-invariant |
L |
7.9553304009995 |
L(r)(E,1)/r! |
Ω |
1.3031944527223 |
Real period |
R |
1.0174140915016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42560be1 21280e1 |
Quadratic twists by: -4 8 |