Atkin-Lehner |
2- 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
57400x |
Isogeny class |
Conductor |
57400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-45920000 = -1 · 28 · 54 · 7 · 41 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ -4 1 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-308,2212] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:40:1] [12:-10:1] |
Generators of the group modulo torsion |
j |
-20261200/287 |
j-invariant |
L |
7.86156895225 |
L(r)(E,1)/r! |
Ω |
2.0246655519479 |
Real period |
R |
0.32357479752194 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999945 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114800z1 57400i1 |
Quadratic twists by: -4 5 |