Atkin-Lehner |
2+ 3- 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75240u |
Isogeny class |
Conductor |
75240 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
6635520 |
Modular degree for the optimal curve |
Δ |
7942335152400000000 = 210 · 36 · 58 · 11 · 195 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11+ 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-81696267,-284217871626] |
[a1,a2,a3,a4,a6] |
j |
80779816936648490883876/10639487890625 |
j-invariant |
L |
2.008671856392 |
L(r)(E,1)/r! |
Ω |
0.050216796597984 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8360l1 |
Quadratic twists by: -3 |