Atkin-Lehner |
2+ 5+ 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
60350f |
Isogeny class |
Conductor |
60350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
827490232000000 = 29 · 56 · 172 · 713 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 -6 1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25950,-831500] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:935:1] |
Generators of the group modulo torsion |
j |
123692088390625/52959374848 |
j-invariant |
L |
3.2392258656053 |
L(r)(E,1)/r! |
Ω |
0.39097174507345 |
Real period |
R |
0.69042198620472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000626 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2414e1 |
Quadratic twists by: 5 |