Atkin-Lehner |
2+ 3- 31- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
11346d |
Isogeny class |
Conductor |
11346 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-256408254 = -1 · 2 · 37 · 312 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -1 -2 0 -2 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-344,2540] |
[a1,a2,a3,a4,a6] |
Generators |
[30:124:1] |
Generators of the group modulo torsion |
j |
-4483146738169/256408254 |
j-invariant |
L |
3.5253867102714 |
L(r)(E,1)/r! |
Ω |
1.7257099108123 |
Real period |
R |
0.14591869402282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90768d1 34038h1 |
Quadratic twists by: -4 -3 |