Atkin-Lehner |
2- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
103600cg |
Isogeny class |
Conductor |
103600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-4641280000 = -1 · 212 · 54 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 2 -4 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,392,-1488] |
[a1,a2,a3,a4,a6] |
Generators |
[102:154:27] |
Generators of the group modulo torsion |
j |
2595575/1813 |
j-invariant |
L |
11.050017775964 |
L(r)(E,1)/r! |
Ω |
0.77593868698448 |
Real period |
R |
3.5602097076616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999929005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6475f1 103600bh1 |
Quadratic twists by: -4 5 |