Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25168bc |
Isogeny class |
Conductor |
25168 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-5611626782654464 = -1 · 217 · 117 · 133 |
Discriminant |
Eigenvalues |
2- 2 3 -1 11- 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12624,3649472] |
[a1,a2,a3,a4,a6] |
Generators |
[-3192:50336:27] |
Generators of the group modulo torsion |
j |
-30664297/773344 |
j-invariant |
L |
9.0494543999392 |
L(r)(E,1)/r! |
Ω |
0.35828857153684 |
Real period |
R |
3.1571808030056 |
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 |
3146n1 100672eg1 2288l1 |
Quadratic twists by: -4 8 -11 |