Atkin-Lehner |
3+ 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
21315i |
Isogeny class |
Conductor |
21315 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1090844469225 = 32 · 52 · 78 · 292 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7155,-230448] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:98:1] [126:879:1] |
Generators of the group modulo torsion |
j |
344324701729/9272025 |
j-invariant |
L |
4.4951498412633 |
L(r)(E,1)/r! |
Ω |
0.51994905156323 |
Real period |
R |
4.3226829895627 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
63945l2 106575cc2 3045g2 |
Quadratic twists by: -3 5 -7 |