Atkin-Lehner |
2- 19- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
30704d |
Isogeny class |
Conductor |
30704 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-2292733018112 = -1 · 215 · 193 · 1012 |
Discriminant |
Eigenvalues |
2- -1 2 -1 2 7 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1088,71168] |
[a1,a2,a3,a4,a6] |
Generators |
[16:-304:1] |
Generators of the group modulo torsion |
j |
34741712447/559749272 |
j-invariant |
L |
5.5607913990579 |
L(r)(E,1)/r! |
Ω |
0.60935387016746 |
Real period |
R |
0.38023823753469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3838a1 122816e1 |
Quadratic twists by: -4 8 |