Atkin-Lehner |
2- 5+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
80240l |
Isogeny class |
Conductor |
80240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-102707200 = -1 · 212 · 52 · 17 · 59 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 1 4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3968,-96208] |
[a1,a2,a3,a4,a6] |
Generators |
[226787:2719427:1331] |
Generators of the group modulo torsion |
j |
-1686858891264/25075 |
j-invariant |
L |
6.0918810900927 |
L(r)(E,1)/r! |
Ω |
0.30076427959486 |
Real period |
R |
10.127334764385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001379 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5015b1 |
Quadratic twists by: -4 |