Atkin-Lehner |
3+ 7+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
98049a |
Isogeny class |
Conductor |
98049 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1279488 |
Modular degree for the optimal curve |
Δ |
580240485457101 = 38 · 78 · 232 · 29 |
Discriminant |
Eigenvalues |
0 3+ 3 7+ -6 3 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1716829,-865269252] |
[a1,a2,a3,a4,a6] |
Generators |
[-5272401436:87064385:6967871] |
Generators of the group modulo torsion |
j |
97077988018880512/100652301 |
j-invariant |
L |
5.6352129924572 |
L(r)(E,1)/r! |
Ω |
0.1318918015512 |
Real period |
R |
10.681507353339 |
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 |
98049v1 |
Quadratic twists by: -7 |