Atkin-Lehner |
2+ 37- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
101824d |
Isogeny class |
Conductor |
101824 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
59520 |
Modular degree for the optimal curve |
Δ |
-6966085312 = -1 · 26 · 372 · 433 |
Discriminant |
Eigenvalues |
2+ 0 2 -4 5 -1 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-284,4418] |
[a1,a2,a3,a4,a6] |
j |
-39582093312/108845083 |
j-invariant |
L |
2.3429450552809 |
L(r)(E,1)/r! |
Ω |
1.171472716466 |
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 |
101824l1 1591a1 |
Quadratic twists by: -4 8 |