Atkin-Lehner |
3- 5- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
35175bb |
Isogeny class |
Conductor |
35175 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
82560 |
Modular degree for the optimal curve |
Δ |
-5089932421875 = -1 · 34 · 58 · 74 · 67 |
Discriminant |
Eigenvalues |
2 3- 5- 7+ 0 2 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1042,108119] |
[a1,a2,a3,a4,a6] |
Generators |
[314:3671:8] |
Generators of the group modulo torsion |
j |
320000000/13030227 |
j-invariant |
L |
13.484235524693 |
L(r)(E,1)/r! |
Ω |
0.5805135911774 |
Real period |
R |
0.96783805823167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105525bj1 35175n1 |
Quadratic twists by: -3 5 |