Atkin-Lehner |
5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
5635g |
Isogeny class |
Conductor |
5635 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
274560 |
Modular degree for the optimal curve |
Δ |
-3.845673184351E+20 |
Discriminant |
Eigenvalues |
2 1 5- 7- -5 -3 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1127180,-823053801] |
[a1,a2,a3,a4,a6] |
Generators |
[25818:1527081:8] |
Generators of the group modulo torsion |
j |
1346216501445963776/3268768272021875 |
j-invariant |
L |
8.4835028353461 |
L(r)(E,1)/r! |
Ω |
0.08739756182479 |
Real period |
R |
4.8533978856031 |
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 |
90160db1 50715bh1 28175n1 805a1 |
Quadratic twists by: -4 -3 5 -7 |