Atkin-Lehner |
2- 3- 5+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
78210bg |
Isogeny class |
Conductor |
78210 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
264192 |
Modular degree for the optimal curve |
Δ |
26933472395280 = 24 · 318 · 5 · 11 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9563,261627] |
[a1,a2,a3,a4,a6] |
j |
132658803153001/36945778320 |
j-invariant |
L |
2.487814784771 |
L(r)(E,1)/r! |
Ω |
0.62195369531398 |
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 |
26070f1 |
Quadratic twists by: -3 |