Atkin-Lehner |
2+ 3- 7+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
98154s |
Isogeny class |
Conductor |
98154 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1240228125418338 = 2 · 38 · 72 · 196 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 0 -2 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-196722,-33491718] |
[a1,a2,a3,a4,a6] |
Generators |
[-261:279:1] [-249:210:1] |
Generators of the group modulo torsion |
j |
1154931479267406625/1701273148722 |
j-invariant |
L |
8.2183745733436 |
L(r)(E,1)/r! |
Ω |
0.22671206804608 |
Real period |
R |
3.0208561621551 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998058 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32718l2 |
Quadratic twists by: -3 |