Atkin-Lehner |
2+ 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
21350h |
Isogeny class |
Conductor |
21350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
1708000000 = 28 · 56 · 7 · 61 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- -5 0 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-326,1048] |
[a1,a2,a3,a4,a6] |
Generators |
[37:181:1] |
Generators of the group modulo torsion |
j |
244140625/109312 |
j-invariant |
L |
4.0982197067953 |
L(r)(E,1)/r! |
Ω |
1.3414146728016 |
Real period |
R |
0.76378687923471 |
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 |
854c1 |
Quadratic twists by: 5 |