Atkin-Lehner |
3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
6825d |
Isogeny class |
Conductor |
6825 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
262016015625 = 34 · 58 · 72 · 132 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 4 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6838,-219094] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:60:1] |
Generators of the group modulo torsion |
j |
2263054145689/16769025 |
j-invariant |
L |
2.4188084802488 |
L(r)(E,1)/r! |
Ω |
0.52524381468933 |
Real period |
R |
2.3025577956396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
109200ft2 20475ba2 1365c2 47775cj2 |
Quadratic twists by: -4 -3 5 -7 |