Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040bp |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-14826560869512000 = -1 · 26 · 38 · 53 · 710 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56660,7846350] |
[a1,a2,a3,a4,a6] |
Generators |
[35:2430:1] |
Generators of the group modulo torsion |
j |
-2671731885376/1969120125 |
j-invariant |
L |
5.1844715619826 |
L(r)(E,1)/r! |
Ω |
0.36285934868981 |
Real period |
R |
2.3813044828158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999663 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040dl1 23520r2 6720r1 |
Quadratic twists by: -4 8 -7 |