Atkin-Lehner |
2- 3+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
42408h |
Isogeny class |
Conductor |
42408 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-138407974059312 = -1 · 24 · 33 · 192 · 316 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29430,2024029] |
[a1,a2,a3,a4,a6] |
Generators |
[90:323:1] |
Generators of the group modulo torsion |
j |
-6525454286592000/320388828841 |
j-invariant |
L |
6.4407466168219 |
L(r)(E,1)/r! |
Ω |
0.57598959947063 |
Real period |
R |
2.7955134184465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84816b1 42408a1 |
Quadratic twists by: -4 -3 |