Atkin-Lehner |
3- 7- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
101283u |
Isogeny class |
Conductor |
101283 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-26179108536399 = -1 · 3 · 78 · 134 · 53 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 0 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,5193,-199200] |
[a1,a2,a3,a4,a6] |
j |
131639193503/222518751 |
j-invariant |
L |
2.8144674907677 |
L(r)(E,1)/r! |
Ω |
0.35180844782141 |
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 |
14469d1 |
Quadratic twists by: -7 |