Atkin-Lehner |
2- 3+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
98208s |
Isogeny class |
Conductor |
98208 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-759191837184 = -1 · 29 · 33 · 116 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11- 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-339,-41990] |
[a1,a2,a3,a4,a6] |
j |
-311665752/54918391 |
j-invariant |
L |
4.8022174839605 |
L(r)(E,1)/r! |
Ω |
0.40018479965836 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98208b2 98208d2 |
Quadratic twists by: -4 -3 |