Atkin-Lehner |
2+ 3+ 7- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
60606i |
Isogeny class |
Conductor |
60606 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
6615759566052 = 22 · 33 · 73 · 136 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5187,74529] |
[a1,a2,a3,a4,a6] |
j |
571683671224875/245028132076 |
j-invariant |
L |
1.3539051412949 |
L(r)(E,1)/r! |
Ω |
0.67695257056804 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
60606ba3 |
Quadratic twists by: -3 |