Atkin-Lehner |
2+ 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
57400f |
Isogeny class |
Conductor |
57400 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
4976640 |
Modular degree for the optimal curve |
Δ |
-9.7325010953831E+22 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 0 0 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14072633,-25257295363] |
[a1,a2,a3,a4,a6] |
j |
-77053050549904731136/24331252738457875 |
j-invariant |
L |
4.6026336308706 |
L(r)(E,1)/r! |
Ω |
0.038355280269045 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114800f1 11480f1 |
Quadratic twists by: -4 5 |