Atkin-Lehner |
2- 3- 7- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
30702w |
Isogeny class |
Conductor |
30702 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-149160601914953328 = -1 · 24 · 36 · 7 · 172 · 436 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 0 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-75285,-20217519] |
[a1,a2,a3,a4,a6] |
j |
-47189941274088300241/149160601914953328 |
j-invariant |
L |
3.1898101602721 |
L(r)(E,1)/r! |
Ω |
0.13290875667817 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92106ba1 |
Quadratic twists by: -3 |