Atkin-Lehner |
2+ 3- 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
61104l |
Isogeny class |
Conductor |
61104 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
237572352 = 28 · 36 · 19 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 -6 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-388,-2980] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:6:1] |
Generators of the group modulo torsion |
j |
25298674000/928017 |
j-invariant |
L |
4.7530672056121 |
L(r)(E,1)/r! |
Ω |
1.0778969651129 |
Real period |
R |
1.469858239149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30552k1 |
Quadratic twists by: -4 |