Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
3174f |
Isogeny class |
Conductor |
3174 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
30912 |
Modular degree for the optimal curve |
Δ |
-103926821810356224 = -1 · 214 · 34 · 238 |
Discriminant |
Eigenvalues |
2- 3+ -1 0 0 -5 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-103166,-20123845] |
[a1,a2,a3,a4,a6] |
Generators |
[2865:150919:1] |
Generators of the group modulo torsion |
j |
-1550640289/1327104 |
j-invariant |
L |
4.0286615472736 |
L(r)(E,1)/r! |
Ω |
0.12856530460856 |
Real period |
R |
0.37304198563667 |
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 |
25392ba1 101568r1 9522c1 79350ba1 |
Quadratic twists by: -4 8 -3 5 |