Atkin-Lehner |
2- 5+ 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
62320s |
Isogeny class |
Conductor |
62320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-4985600 = -1 · 28 · 52 · 19 · 41 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 4 5 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21,121] |
[a1,a2,a3,a4,a6] |
Generators |
[1:-10:1] |
Generators of the group modulo torsion |
j |
-4194304/19475 |
j-invariant |
L |
4.311741029891 |
L(r)(E,1)/r! |
Ω |
2.1107402518695 |
Real period |
R |
0.51069062452163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000395 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15580c1 |
Quadratic twists by: -4 |