Atkin-Lehner |
3- 7- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
98049y |
Isogeny class |
Conductor |
98049 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2930688 |
Modular degree for the optimal curve |
Δ |
-27696415689201 = -1 · 3 · 712 · 23 · 29 |
Discriminant |
Eigenvalues |
-1 3- -3 7- -5 3 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10063572,-12288701391] |
[a1,a2,a3,a4,a6] |
Generators |
[12671151855673979:580090136762678201:2649267567253] |
Generators of the group modulo torsion |
j |
-958058325128565115057/235415649 |
j-invariant |
L |
3.8995597197519 |
L(r)(E,1)/r! |
Ω |
0.042382007036889 |
Real period |
R |
23.002448399611 |
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 |
14007c1 |
Quadratic twists by: -7 |