Atkin-Lehner |
2+ 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
60840bb |
Isogeny class |
Conductor |
60840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
27830448154501200 = 24 · 38 · 52 · 139 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-145002,19678529] |
[a1,a2,a3,a4,a6] |
j |
2725888/225 |
j-invariant |
L |
2.9238816848859 |
L(r)(E,1)/r! |
Ω |
0.3654852105562 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121680ca1 20280q1 60840bn1 |
Quadratic twists by: -4 -3 13 |