Atkin-Lehner |
2+ 3+ 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35112b |
Isogeny class |
Conductor |
35112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1093632 |
Modular degree for the optimal curve |
Δ |
10016326715472 = 24 · 38 · 73 · 114 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11- 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14252719,20715447820] |
[a1,a2,a3,a4,a6] |
j |
20012296492949906452559872/626020419717 |
j-invariant |
L |
0.3845441012405 |
L(r)(E,1)/r! |
Ω |
0.38454410124426 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
70224x1 105336bk1 |
Quadratic twists by: -4 -3 |