Atkin-Lehner |
2- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
114950db |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3041280 |
Modular degree for the optimal curve |
Δ |
-24182361262812500 = -1 · 22 · 57 · 118 · 192 |
Discriminant |
Eigenvalues |
2- -3 5+ 3 11- 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-534480,-150451353] |
[a1,a2,a3,a4,a6] |
j |
-5041454121/7220 |
j-invariant |
L |
4.2373153822537 |
L(r)(E,1)/r! |
Ω |
0.088277387833209 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22990r1 114950t1 |
Quadratic twists by: 5 -11 |