Atkin-Lehner |
2- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
113600cp |
Isogeny class |
Conductor |
113600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
2.863288E+20 |
Discriminant |
Eigenvalues |
2- -3 5+ -1 -2 1 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1686700,-219326000] |
[a1,a2,a3,a4,a6] |
Generators |
[-260:14200:1] |
Generators of the group modulo torsion |
j |
259123794463602/139808984375 |
j-invariant |
L |
3.4680766792787 |
L(r)(E,1)/r! |
Ω |
0.14110649038251 |
Real period |
R |
2.0481438429629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015947 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113600p1 28400f1 22720bg1 |
Quadratic twists by: -4 8 5 |