Atkin-Lehner |
2- 3+ 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
77520bl |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
148264955412480000 = 232 · 32 · 54 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -4 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11512336,-15030800960] |
[a1,a2,a3,a4,a6] |
j |
41195916697879355491729/36197498880000 |
j-invariant |
L |
0.6556902071667 |
L(r)(E,1)/r! |
Ω |
0.081961275866539 |
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 |
9690r1 |
Quadratic twists by: -4 |