Atkin-Lehner |
2- 5- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
69520bc |
Isogeny class |
Conductor |
69520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
208896 |
Modular degree for the optimal curve |
Δ |
-64149363097600 = -1 · 228 · 52 · 112 · 79 |
Discriminant |
Eigenvalues |
2- -2 5- 2 11+ 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3640,393300] |
[a1,a2,a3,a4,a6] |
j |
-1302528459961/15661465600 |
j-invariant |
L |
2.1096327036229 |
L(r)(E,1)/r! |
Ω |
0.52740817240723 |
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 |
8690d1 |
Quadratic twists by: -4 |