Atkin-Lehner |
3- 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
53655w |
Isogeny class |
Conductor |
53655 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
769890605085 = 316 · 5 · 72 · 73 |
Discriminant |
Eigenvalues |
2 3- 5- 7- -6 -2 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2690,32309] |
[a1,a2,a3,a4,a6] |
Generators |
[74:725:8] |
Generators of the group modulo torsion |
j |
43948687519744/15712053165 |
j-invariant |
L |
15.208663038425 |
L(r)(E,1)/r! |
Ω |
0.82272116654899 |
Real period |
R |
1.1553628113022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53655b1 |
Quadratic twists by: -7 |