Atkin-Lehner |
2- 3+ 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
65550bo |
Isogeny class |
Conductor |
65550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-25605468750 = -1 · 2 · 3 · 510 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -2 -1 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,437,7031] |
[a1,a2,a3,a4,a6] |
Generators |
[590:5051:8] |
Generators of the group modulo torsion |
j |
590589719/1638750 |
j-invariant |
L |
7.1471039394101 |
L(r)(E,1)/r! |
Ω |
0.83686704643163 |
Real period |
R |
4.2701549607948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996064 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13110q1 |
Quadratic twists by: 5 |