Atkin-Lehner |
3- 5- 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
116025bo |
Isogeny class |
Conductor |
116025 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
777600 |
Modular degree for the optimal curve |
Δ |
-5613258339745875 = -1 · 315 · 53 · 72 · 13 · 173 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ -4 13+ 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-32373,4234214] |
[a1,a2,a3,a4,a6] |
Generators |
[1242:43375:1] [108:-1418:1] |
Generators of the group modulo torsion |
j |
-30017599311970304/44906066717967 |
j-invariant |
L |
10.848971139241 |
L(r)(E,1)/r! |
Ω |
0.38436624772479 |
Real period |
R |
0.15680893491743 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999934865 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116025v1 |
Quadratic twists by: 5 |