Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680es |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1078272 |
Modular degree for the optimal curve |
Δ |
-97430355248578560 = -1 · 215 · 36 · 5 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 3 13+ 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-243867,48725066] |
[a1,a2,a3,a4,a6] |
j |
-658489/40 |
j-invariant |
L |
3.987469266157 |
L(r)(E,1)/r! |
Ω |
0.33228908107018 |
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 |
15210bo1 13520s1 121680di1 |
Quadratic twists by: -4 -3 13 |