Atkin-Lehner |
2- 3+ 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
15318i |
Isogeny class |
Conductor |
15318 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-2013152832 = -1 · 26 · 33 · 23 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 0 -4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,55,-2167] |
[a1,a2,a3,a4,a6] |
Generators |
[13:18:1] |
Generators of the group modulo torsion |
j |
693154125/74561216 |
j-invariant |
L |
7.0723295433781 |
L(r)(E,1)/r! |
Ω |
0.69854800720444 |
Real period |
R |
2.5310821412551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
122544t1 15318c2 |
Quadratic twists by: -4 -3 |