Atkin-Lehner |
2- 3- 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
122544bh |
Isogeny class |
Conductor |
122544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
315392 |
Modular degree for the optimal curve |
Δ |
-5557325303808 = -1 · 212 · 313 · 23 · 37 |
Discriminant |
Eigenvalues |
2- 3- -4 -1 0 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24987,1524490] |
[a1,a2,a3,a4,a6] |
Generators |
[-177:634:1] [119:486:1] |
Generators of the group modulo torsion |
j |
-577801395289/1861137 |
j-invariant |
L |
9.1044808037231 |
L(r)(E,1)/r! |
Ω |
0.76425054442934 |
Real period |
R |
1.4891191226089 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002561 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7659a1 40848k1 |
Quadratic twists by: -4 -3 |