Atkin-Lehner |
2+ 3- 7+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
60606k |
Isogeny class |
Conductor |
60606 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
909312 |
Modular degree for the optimal curve |
Δ |
127123888910893056 = 224 · 38 · 74 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 6 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-179676,23816272] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:6323:1] |
Generators of the group modulo torsion |
j |
879969774932692417/174381191921664 |
j-invariant |
L |
5.7012151568127 |
L(r)(E,1)/r! |
Ω |
0.31264753030936 |
Real period |
R |
4.558819920297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999804 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20202f1 |
Quadratic twists by: -3 |