Atkin-Lehner |
3- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
34839g |
Isogeny class |
Conductor |
34839 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
426857984217 = 38 · 77 · 79 |
Discriminant |
Eigenvalues |
1 3- -2 7- 4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-45873,-3770096] |
[a1,a2,a3,a4,a6] |
Generators |
[16340:59303:64] |
Generators of the group modulo torsion |
j |
124475734657/4977 |
j-invariant |
L |
6.0403926742075 |
L(r)(E,1)/r! |
Ω |
0.32622021307431 |
Real period |
R |
4.6290760291044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11613a1 4977b1 |
Quadratic twists by: -3 -7 |