Atkin-Lehner |
2- 3- 5+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
118950bw |
Isogeny class |
Conductor |
118950 |
Conductor |
∏ cp |
125 |
Product of Tamagawa factors cp |
deg |
336000 |
Modular degree for the optimal curve |
Δ |
-4402940911200 = -1 · 25 · 35 · 52 · 135 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -3 13- 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-24303,1459737] |
[a1,a2,a3,a4,a6] |
Generators |
[1054:5401:8] |
Generators of the group modulo torsion |
j |
-63498648368613145/176117636448 |
j-invariant |
L |
15.309278298139 |
L(r)(E,1)/r! |
Ω |
0.77867363967225 |
Real period |
R |
3.9321424203197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030987 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
118950p2 |
Quadratic twists by: 5 |