Atkin-Lehner |
3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
62475bu |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
23224320 |
Modular degree for the optimal curve |
Δ |
-1.3654270589321E+27 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,142023412,1654191427167] |
[a1,a2,a3,a4,a6] |
Generators |
[447607:-299797241:1] |
Generators of the group modulo torsion |
j |
172343644217341694999/742780064187984375 |
j-invariant |
L |
5.048406014184 |
L(r)(E,1)/r! |
Ω |
0.034413306374818 |
Real period |
R |
5.2392586992518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998892 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12495c1 8925f1 |
Quadratic twists by: 5 -7 |