Atkin-Lehner |
3+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
21525j |
Isogeny class |
Conductor |
21525 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-27713165329828125 = -1 · 37 · 56 · 7 · 415 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -6 7 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,73525,2325750] |
[a1,a2,a3,a4,a6] |
Generators |
[1246:44436:1] |
Generators of the group modulo torsion |
j |
2813193182704463/1773642581109 |
j-invariant |
L |
4.9598242972824 |
L(r)(E,1)/r! |
Ω |
0.23246715307469 |
Real period |
R |
4.2671183706448 |
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 |
64575bf1 861c1 |
Quadratic twists by: -3 5 |