Atkin-Lehner |
2+ 5+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61360a |
Isogeny class |
Conductor |
61360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13568 |
Modular degree for the optimal curve |
Δ |
-51051520 = -1 · 210 · 5 · 132 · 59 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,64,-304] |
[a1,a2,a3,a4,a6] |
Generators |
[238:3666:1] |
Generators of the group modulo torsion |
j |
27871484/49855 |
j-invariant |
L |
7.3709479046381 |
L(r)(E,1)/r! |
Ω |
1.049184676644 |
Real period |
R |
3.5127028009421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999908 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30680a1 |
Quadratic twists by: -4 |