Atkin-Lehner |
3+ 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
116325f |
Isogeny class |
Conductor |
116325 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-291491183671875 = -1 · 33 · 57 · 113 · 473 |
Discriminant |
Eigenvalues |
0 3+ 5+ 1 11- 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-17700,-1223219] |
[a1,a2,a3,a4,a6] |
j |
-1453649559552/690942065 |
j-invariant |
L |
2.4282150627535 |
L(r)(E,1)/r! |
Ω |
0.20235122523424 |
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 |
116325d2 23265d1 |
Quadratic twists by: -3 5 |