Atkin-Lehner |
3+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
21525m |
Isogeny class |
Conductor |
21525 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
69600 |
Modular degree for the optimal curve |
Δ |
-4767451171875 = -1 · 35 · 510 · 72 · 41 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7- -5 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-7708,283443] |
[a1,a2,a3,a4,a6] |
Generators |
[234:2289:8] |
Generators of the group modulo torsion |
j |
-5186867200/488187 |
j-invariant |
L |
8.4885604457164 |
L(r)(E,1)/r! |
Ω |
0.75313679221314 |
Real period |
R |
5.6354705635694 |
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 |
64575bi1 21525bc1 |
Quadratic twists by: -3 5 |