Atkin-Lehner |
2- 5+ 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
62320t |
Isogeny class |
Conductor |
62320 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-8380793600 = -1 · 28 · 52 · 19 · 413 |
Discriminant |
Eigenvalues |
2- -3 5+ -4 -2 -1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,272,-4052] |
[a1,a2,a3,a4,a6] |
Generators |
[54:410:1] |
Generators of the group modulo torsion |
j |
8693415936/32737475 |
j-invariant |
L |
1.6093695287669 |
L(r)(E,1)/r! |
Ω |
0.66445339125491 |
Real period |
R |
0.20184128662298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000399 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15580d1 |
Quadratic twists by: -4 |