Atkin-Lehner |
2- 3+ 7+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
28014p |
Isogeny class |
Conductor |
28014 |
Conductor |
∏ cp |
208 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
-1880927709954048 = -1 · 226 · 32 · 7 · 232 · 292 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ -4 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-78495,8685381] |
[a1,a2,a3,a4,a6] |
Generators |
[2361:-43882:27] [-209:4106:1] |
Generators of the group modulo torsion |
j |
-53487221637874132081/1880927709954048 |
j-invariant |
L |
7.910925710544 |
L(r)(E,1)/r! |
Ω |
0.46574603407214 |
Real period |
R |
0.3266440841399 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999966 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84042n1 |
Quadratic twists by: -3 |