Atkin-Lehner |
2- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
22736v |
Isogeny class |
Conductor |
22736 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-873426176 = -1 · 28 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 1 -3 7- -3 -5 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-212,1784] |
[a1,a2,a3,a4,a6] |
Generators |
[23:98:1] |
Generators of the group modulo torsion |
j |
-35152/29 |
j-invariant |
L |
4.032726753355 |
L(r)(E,1)/r! |
Ω |
1.447406193117 |
Real period |
R |
1.3930874320326 |
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 |
5684f1 90944eb1 464d1 |
Quadratic twists by: -4 8 -7 |