Atkin-Lehner |
2+ 7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
117208a |
Isogeny class |
Conductor |
117208 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
75648 |
Modular degree for the optimal curve |
Δ |
-16907957248 = -1 · 210 · 74 · 13 · 232 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ -5 13- 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-408,6880] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:92:1] |
Generators of the group modulo torsion |
j |
-3062500/6877 |
j-invariant |
L |
3.6403225458109 |
L(r)(E,1)/r! |
Ω |
1.0946841508027 |
Real period |
R |
0.83136367801317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999404299 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117208f1 |
Quadratic twists by: -7 |