Atkin-Lehner |
2+ 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
87400d |
Isogeny class |
Conductor |
87400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
-1297343750000 = -1 · 24 · 510 · 192 · 23 |
Discriminant |
Eigenvalues |
2+ -1 5+ -4 0 3 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2908,-80563] |
[a1,a2,a3,a4,a6] |
Generators |
[82:475:1] |
Generators of the group modulo torsion |
j |
-10882188544/5189375 |
j-invariant |
L |
3.347678093941 |
L(r)(E,1)/r! |
Ω |
0.31780616216537 |
Real period |
R |
1.3167138071933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17480c1 |
Quadratic twists by: 5 |