Atkin-Lehner |
2- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
41300n |
Isogeny class |
Conductor |
41300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
125280 |
Modular degree for the optimal curve |
Δ |
-530134543750000 = -1 · 24 · 58 · 7 · 594 |
Discriminant |
Eigenvalues |
2- 2 5- 7- -1 4 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,18542,-537963] |
[a1,a2,a3,a4,a6] |
Generators |
[4809:78175:27] |
Generators of the group modulo torsion |
j |
112795040000/84821527 |
j-invariant |
L |
8.9730105032876 |
L(r)(E,1)/r! |
Ω |
0.29115603048075 |
Real period |
R |
2.5682135933755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41300d1 |
Quadratic twists by: 5 |