Atkin-Lehner |
2- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
56350cb |
Isogeny class |
Conductor |
56350 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-32264553532820000 = -1 · 25 · 54 · 78 · 234 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -5 -2 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-47188,-9519819] |
[a1,a2,a3,a4,a6] |
Generators |
[545:-11543:1] |
Generators of the group modulo torsion |
j |
-158034076225/438790688 |
j-invariant |
L |
6.2837636585215 |
L(r)(E,1)/r! |
Ω |
0.15020593813786 |
Real period |
R |
0.34861935421867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000175 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56350e1 8050u1 |
Quadratic twists by: 5 -7 |