Atkin-Lehner |
2+ 3+ 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
107640c |
Isogeny class |
Conductor |
107640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
81408 |
Modular degree for the optimal curve |
Δ |
-30132311040 = -1 · 210 · 39 · 5 · 13 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 5 13- 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-243,8478] |
[a1,a2,a3,a4,a6] |
j |
-78732/1495 |
j-invariant |
L |
3.959547937597 |
L(r)(E,1)/r! |
Ω |
0.98988711189754 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107640x1 |
Quadratic twists by: -3 |