Atkin-Lehner |
2- 3- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550eu |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-174650175000000 = -1 · 26 · 36 · 58 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21380,1366247] |
[a1,a2,a3,a4,a6] |
j |
-94881210481/15332800 |
j-invariant |
L |
6.6070840868653 |
L(r)(E,1)/r! |
Ω |
0.55059034465601 |
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 |
12950c1 23310k1 |
Quadratic twists by: -3 5 |