Atkin-Lehner |
2- 3+ 5+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
79050bo |
Isogeny class |
Conductor |
79050 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
1728000 |
Modular degree for the optimal curve |
Δ |
-29535989040000000 = -1 · 210 · 36 · 57 · 17 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -3 -5 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1930588,1031710781] |
[a1,a2,a3,a4,a6] |
Generators |
[-1075:43737:1] [-935:45417:1] |
Generators of the group modulo torsion |
j |
-50929862936480458489/1890303298560 |
j-invariant |
L |
13.621616599714 |
L(r)(E,1)/r! |
Ω |
0.34876050515359 |
Real period |
R |
0.16273842649568 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999309 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15810e1 |
Quadratic twists by: 5 |