Atkin-Lehner |
2- 3+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
122544t |
Isogeny class |
Conductor |
122544 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-8245873999872 = -1 · 218 · 33 · 23 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 0 -4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,885,137786] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:222:1] [-1:370:1] |
Generators of the group modulo torsion |
j |
693154125/74561216 |
j-invariant |
L |
12.370070863714 |
L(r)(E,1)/r! |
Ω |
0.56521421274515 |
Real period |
R |
1.8238027552615 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001216 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15318i1 122544p2 |
Quadratic twists by: -4 -3 |