Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3978g |
Isogeny class |
Conductor |
3978 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
301596048 = 24 · 38 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 2 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-185,-439] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:18:1] |
Generators of the group modulo torsion |
j |
955671625/413712 |
j-invariant |
L |
5.0637263914551 |
L(r)(E,1)/r! |
Ω |
1.3470714749636 |
Real period |
R |
0.93976572245206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31824s1 127296v1 1326c1 99450bh1 |
Quadratic twists by: -4 8 -3 5 |