Atkin-Lehner |
2+ 3+ 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
29070b |
Isogeny class |
Conductor |
29070 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
3999744 |
Modular degree for the optimal curve |
Δ |
-2.4783341984872E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -2 4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,9850746,20783959028] |
[a1,a2,a3,a4,a6] |
Generators |
[292:153754:1] |
Generators of the group modulo torsion |
j |
5370809616319614837453/12591242181005000000 |
j-invariant |
L |
3.7908931311011 |
L(r)(E,1)/r! |
Ω |
0.06870604933381 |
Real period |
R |
1.9705548741229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29070x1 |
Quadratic twists by: -3 |