Atkin-Lehner |
3- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
49197l |
Isogeny class |
Conductor |
49197 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
114048 |
Modular degree for the optimal curve |
Δ |
-2849838899139 = -1 · 33 · 237 · 31 |
Discriminant |
Eigenvalues |
2 3- -1 0 -2 4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-176,81167] |
[a1,a2,a3,a4,a6] |
Generators |
[-294:1583:8] |
Generators of the group modulo torsion |
j |
-4096/19251 |
j-invariant |
L |
13.74561951762 |
L(r)(E,1)/r! |
Ω |
0.64537545171519 |
Real period |
R |
1.7748866804458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999914 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2139d1 |
Quadratic twists by: -23 |