Atkin-Lehner |
3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104907g |
Isogeny class |
Conductor |
104907 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-456175185939 = -1 · 34 · 117 · 172 |
Discriminant |
Eigenvalues |
0 3+ -1 4 11- -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1371,38378] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:238:1] [4:181:1] |
Generators of the group modulo torsion |
j |
-557056/891 |
j-invariant |
L |
8.4791509180607 |
L(r)(E,1)/r! |
Ω |
0.84072191194964 |
Real period |
R |
1.2606949455316 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999977833 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9537a1 104907bj1 |
Quadratic twists by: -11 17 |