Atkin-Lehner |
2- 3- 5+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
118950bu |
Isogeny class |
Conductor |
118950 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
-28095514200 = -1 · 23 · 311 · 52 · 13 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -1 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-388,8552] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:92:1] |
Generators of the group modulo torsion |
j |
-258433515625/1123820568 |
j-invariant |
L |
14.568774734681 |
L(r)(E,1)/r! |
Ω |
1.0294898987529 |
Real period |
R |
0.42883181427768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027188 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118950o1 |
Quadratic twists by: 5 |