Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22800dc |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-47278080000000000 = -1 · 220 · 35 · 510 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 1 0 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-205208,-37346412] |
[a1,a2,a3,a4,a6] |
Generators |
[532:2082:1] |
Generators of the group modulo torsion |
j |
-23891790625/1181952 |
j-invariant |
L |
5.7123401866412 |
L(r)(E,1)/r! |
Ω |
0.11183307809329 |
Real period |
R |
5.1079164447891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2850f1 91200gl1 68400eu1 22800cm1 |
Quadratic twists by: -4 8 -3 5 |