Atkin-Lehner |
3+ 5- 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
63825i |
Isogeny class |
Conductor |
63825 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
27264 |
Modular degree for the optimal curve |
Δ |
168817125 = 3 · 53 · 233 · 37 |
Discriminant |
Eigenvalues |
-1 3+ 5- 3 -5 -5 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-273,1506] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-15:1] [-90:501:8] |
Generators of the group modulo torsion |
j |
18005329061/1350537 |
j-invariant |
L |
5.6628080456646 |
L(r)(E,1)/r! |
Ω |
1.7728109132913 |
Real period |
R |
0.53237563795732 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63825p1 |
Quadratic twists by: 5 |