Atkin-Lehner |
2- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
21350t |
Isogeny class |
Conductor |
21350 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
75840 |
Modular degree for the optimal curve |
Δ |
-11193548800 = -1 · 220 · 52 · 7 · 61 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ -2 -6 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-63963,6221137] |
[a1,a2,a3,a4,a6] |
Generators |
[158:177:1] |
Generators of the group modulo torsion |
j |
-1157632210950705625/447741952 |
j-invariant |
L |
4.3300923393107 |
L(r)(E,1)/r! |
Ω |
1.0355238210139 |
Real period |
R |
0.20907738921307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21350o1 |
Quadratic twists by: 5 |