Atkin-Lehner |
2- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
94136h |
Isogeny class |
Conductor |
94136 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
113904 |
Modular degree for the optimal curve |
Δ |
-9225328 = -1 · 24 · 73 · 412 |
Discriminant |
Eigenvalues |
2- 2 0 7- -3 0 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25488,-1557751] |
[a1,a2,a3,a4,a6] |
Generators |
[73632:3837743:27] |
Generators of the group modulo torsion |
j |
-68086393504000/343 |
j-invariant |
L |
9.6322229203504 |
L(r)(E,1)/r! |
Ω |
0.18892272420935 |
Real period |
R |
8.4974980639625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021911 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94136e1 |
Quadratic twists by: 41 |