Atkin-Lehner |
2- 3+ 7- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
84546bg |
Isogeny class |
Conductor |
84546 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
303360 |
Modular degree for the optimal curve |
Δ |
-9766898831844 = -1 · 22 · 39 · 75 · 112 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11- -2 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-37721,-2814371] |
[a1,a2,a3,a4,a6] |
j |
-301558252886379/496209868 |
j-invariant |
L |
6.8508083035679 |
L(r)(E,1)/r! |
Ω |
0.17127020840001 |
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 |
84546d1 |
Quadratic twists by: -3 |