Atkin-Lehner |
2+ 3+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
38064d |
Isogeny class |
Conductor |
38064 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
120244176 = 24 · 36 · 132 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 2 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14827,-689990] |
[a1,a2,a3,a4,a6] |
Generators |
[-3401199210:-13009994:48627125] |
Generators of the group modulo torsion |
j |
22531644095531008/7515261 |
j-invariant |
L |
5.659949017925 |
L(r)(E,1)/r! |
Ω |
0.43264710357616 |
Real period |
R |
13.08213777728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19032p1 114192u1 |
Quadratic twists by: -4 -3 |