Atkin-Lehner |
2+ 3- 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
61950y |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-5163470550 = -1 · 2 · 36 · 52 · 74 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -1 -1 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-431,-4912] |
[a1,a2,a3,a4,a6] |
Generators |
[78:622:1] |
Generators of the group modulo torsion |
j |
-352993103185/206538822 |
j-invariant |
L |
5.6124057541665 |
L(r)(E,1)/r! |
Ω |
0.51032302109898 |
Real period |
R |
0.91647928895278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61950ca1 |
Quadratic twists by: 5 |