Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
49600by |
Isogeny class |
Conductor |
49600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-97619148800 = -1 · 217 · 52 · 313 |
Discriminant |
Eigenvalues |
2- 0 5+ -1 -5 -5 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7660,-258480] |
[a1,a2,a3,a4,a6] |
Generators |
[154:1488:1] |
Generators of the group modulo torsion |
j |
-15169109490/29791 |
j-invariant |
L |
3.445246850309 |
L(r)(E,1)/r! |
Ω |
0.25512983888451 |
Real period |
R |
1.1253246795787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999566 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49600b1 12400f1 49600ct1 |
Quadratic twists by: -4 8 5 |