Atkin-Lehner |
2+ 7+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
14098a |
Isogeny class |
Conductor |
14098 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73920 |
Modular degree for the optimal curve |
Δ |
-946874889686656 = -1 · 27 · 72 · 192 · 535 |
Discriminant |
Eigenvalues |
2+ 2 1 7+ 5 6 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10332,-1538992] |
[a1,a2,a3,a4,a6] |
j |
-121995154391188681/946874889686656 |
j-invariant |
L |
3.3431199933483 |
L(r)(E,1)/r! |
Ω |
0.20894499958427 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112784s1 126882bl1 98686b1 |
Quadratic twists by: -4 -3 -7 |