Atkin-Lehner |
2+ 3+ 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
81840l |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
610560 |
Modular degree for the optimal curve |
Δ |
-22735897544067840 = -1 · 28 · 35 · 5 · 119 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 11- -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38225,-7791363] |
[a1,a2,a3,a4,a6] |
j |
-24128903723324416/88812099781515 |
j-invariant |
L |
1.4074421413969 |
L(r)(E,1)/r! |
Ω |
0.15638245961273 |
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 |
40920bg1 |
Quadratic twists by: -4 |