Atkin-Lehner |
2+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
17914a |
Isogeny class |
Conductor |
17914 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
98496 |
Modular degree for the optimal curve |
Δ |
-4291962110738432 = -1 · 224 · 136 · 53 |
Discriminant |
Eigenvalues |
2+ 1 0 4 0 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-47831,-5117318] |
[a1,a2,a3,a4,a6] |
Generators |
[209079423985:4276975618084:384240583] |
Generators of the group modulo torsion |
j |
-2507141976625/889192448 |
j-invariant |
L |
4.9278503817588 |
L(r)(E,1)/r! |
Ω |
0.15858862306128 |
Real period |
R |
15.536582280101 |
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 |
106c1 |
Quadratic twists by: 13 |