Atkin-Lehner |
3+ 7+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
14007c |
Isogeny class |
Conductor |
14007 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
61056 |
Modular degree for the optimal curve |
Δ |
-235415649 = -1 · 3 · 76 · 23 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 3 7+ -5 -3 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-205379,35739098] |
[a1,a2,a3,a4,a6] |
Generators |
[7041:-3191:27] |
Generators of the group modulo torsion |
j |
-958058325128565115057/235415649 |
j-invariant |
L |
2.4468948761748 |
L(r)(E,1)/r! |
Ω |
1.0363254683993 |
Real period |
R |
1.1805629364461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42021c1 98049y1 |
Quadratic twists by: -3 -7 |