Atkin-Lehner |
2+ 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
57400h |
Isogeny class |
Conductor |
57400 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
10348800 |
Modular degree for the optimal curve |
Δ |
-2.3853140835036E+23 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- 0 5 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3745625,23331756250] |
[a1,a2,a3,a4,a6] |
j |
2324644721895600/95412563340143 |
j-invariant |
L |
1.0489642012073 |
L(r)(E,1)/r! |
Ω |
0.074926014454536 |
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 |
114800g1 57400w1 |
Quadratic twists by: -4 5 |