Atkin-Lehner |
3+ 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
53655h |
Isogeny class |
Conductor |
53655 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-47524111425 = -1 · 312 · 52 · 72 · 73 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -3 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,507,9738] |
[a1,a2,a3,a4,a6] |
Generators |
[78:690:1] |
Generators of the group modulo torsion |
j |
293232693719/969879825 |
j-invariant |
L |
4.0434345219247 |
L(r)(E,1)/r! |
Ω |
0.80102585385923 |
Real period |
R |
1.2619550612556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000068 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53655p1 |
Quadratic twists by: -7 |