Atkin-Lehner |
3+ 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
53655g |
Isogeny class |
Conductor |
53655 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
1448685 = 34 · 5 · 72 · 73 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 0 -2 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-51,146] |
[a1,a2,a3,a4,a6] |
Generators |
[6:4:1] |
Generators of the group modulo torsion |
j |
305299456/29565 |
j-invariant |
L |
3.4957138185311 |
L(r)(E,1)/r! |
Ω |
2.6180043269833 |
Real period |
R |
0.66762949597103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999523 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53655o1 |
Quadratic twists by: -7 |