Atkin-Lehner |
2+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
1870f |
Isogeny class |
Conductor |
1870 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
336 |
Modular degree for the optimal curve |
Δ |
-1017280 = -1 · 26 · 5 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 11- 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-44,-112] |
[a1,a2,a3,a4,a6] |
j |
-9541617561/1017280 |
j-invariant |
L |
0.92031617245532 |
L(r)(E,1)/r! |
Ω |
0.92031617245532 |
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 |
14960m1 59840b1 16830bz1 9350y1 |
Quadratic twists by: -4 8 -3 5 |