Atkin-Lehner |
2- 5+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
58300g |
Isogeny class |
Conductor |
58300 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6768 |
Modular degree for the optimal curve |
Δ |
-233200 = -1 · 24 · 52 · 11 · 53 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 11- -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38,-107] |
[a1,a2,a3,a4,a6] |
Generators |
[9:19:1] |
Generators of the group modulo torsion |
j |
-15573760/583 |
j-invariant |
L |
2.4502621300139 |
L(r)(E,1)/r! |
Ω |
0.95724316629316 |
Real period |
R |
2.5597071006446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000856 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58300o1 |
Quadratic twists by: 5 |