Atkin-Lehner |
2- 3- 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
58140l |
Isogeny class |
Conductor |
58140 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-550823243760 = -1 · 24 · 310 · 5 · 17 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 2 -1 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2757,-66179] |
[a1,a2,a3,a4,a6] |
Generators |
[65:171:1] |
Generators of the group modulo torsion |
j |
-198694799104/47224215 |
j-invariant |
L |
6.1263890419024 |
L(r)(E,1)/r! |
Ω |
0.32533592008715 |
Real period |
R |
1.0461646739802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19380l1 |
Quadratic twists by: -3 |