Atkin-Lehner |
2+ 3+ 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
13398g |
Isogeny class |
Conductor |
13398 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-29917734 = -1 · 2 · 3 · 72 · 112 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11- 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14,-270] |
[a1,a2,a3,a4,a6] |
j |
-338608873/29917734 |
j-invariant |
L |
1.8491600524372 |
L(r)(E,1)/r! |
Ω |
0.9245800262186 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107184cf2 40194bt2 93786bp2 |
Quadratic twists by: -4 -3 -7 |