Atkin-Lehner |
2+ 3+ 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
6726b |
Isogeny class |
Conductor |
6726 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
92171628916958208 = 210 · 3 · 195 · 594 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 0 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-117625,-5316059] |
[a1,a2,a3,a4,a6] |
j |
179981716945286265625/92171628916958208 |
j-invariant |
L |
1.3617359801838 |
L(r)(E,1)/r! |
Ω |
0.27234719603676 |
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 |
53808s1 20178o1 127794bv1 |
Quadratic twists by: -4 -3 -19 |