Atkin-Lehner |
2+ 3+ 17- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
31518d |
Isogeny class |
Conductor |
31518 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
254400 |
Modular degree for the optimal curve |
Δ |
-2894660992564128 = -1 · 25 · 33 · 172 · 1035 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -2 3 0 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-39789,-3994171] |
[a1,a2,a3,a4,a6] |
j |
-258021063312623883/107209666391264 |
j-invariant |
L |
0.66257353148991 |
L(r)(E,1)/r! |
Ω |
0.16564338287305 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31518j1 |
Quadratic twists by: -3 |