Atkin-Lehner |
2+ 5+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
122200c |
Isogeny class |
Conductor |
122200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
633600 |
Modular degree for the optimal curve |
Δ |
-7466420000000000 = -1 · 211 · 510 · 132 · 472 |
Discriminant |
Eigenvalues |
2+ -1 5+ 2 5 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-75208,8986412] |
[a1,a2,a3,a4,a6] |
Generators |
[193:1274:1] |
Generators of the group modulo torsion |
j |
-2352294050/373321 |
j-invariant |
L |
6.672826153572 |
L(r)(E,1)/r! |
Ω |
0.40283250908642 |
Real period |
R |
4.1411914420129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999952027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122200be1 |
Quadratic twists by: 5 |