Atkin-Lehner |
2+ 3- 5+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
103350r |
Isogeny class |
Conductor |
103350 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
1216512 |
Modular degree for the optimal curve |
Δ |
-123961381171875000 = -1 · 23 · 311 · 510 · 132 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 3 13- 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,89349,13471198] |
[a1,a2,a3,a4,a6] |
Generators |
[62:-4419:1] |
Generators of the group modulo torsion |
j |
5048702287597151/7933528395000 |
j-invariant |
L |
7.4126983283677 |
L(r)(E,1)/r! |
Ω |
0.22510747460524 |
Real period |
R |
0.74839992115711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018245 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20670r1 |
Quadratic twists by: 5 |