Atkin-Lehner |
2+ 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
35520u |
Isogeny class |
Conductor |
35520 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-3996000000000000 = -1 · 214 · 33 · 512 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-82001,9508815] |
[a1,a2,a3,a4,a6] |
j |
-3721915550952016/243896484375 |
j-invariant |
L |
2.5980243584232 |
L(r)(E,1)/r! |
Ω |
0.43300405973912 |
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 |
35520bp1 4440g1 106560ck1 |
Quadratic twists by: -4 8 -3 |