Atkin-Lehner |
2+ 7- 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
118286b |
Isogeny class |
Conductor |
118286 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
705024 |
Modular degree for the optimal curve |
Δ |
-900881040291904 = -1 · 26 · 79 · 173 · 71 |
Discriminant |
Eigenvalues |
2+ 2 3 7- 0 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-47016,-4200832] |
[a1,a2,a3,a4,a6] |
j |
-97698284547193/7657362496 |
j-invariant |
L |
5.1642684567552 |
L(r)(E,1)/r! |
Ω |
0.16138344326096 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16898e1 |
Quadratic twists by: -7 |