Atkin-Lehner |
2+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
22382f |
Isogeny class |
Conductor |
22382 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-9923292082099808 = -1 · 25 · 199 · 312 |
Discriminant |
Eigenvalues |
2+ -3 -2 3 0 1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-337783,75798589] |
[a1,a2,a3,a4,a6] |
Generators |
[499:5346:1] |
Generators of the group modulo torsion |
j |
-90597496156497/210927968 |
j-invariant |
L |
2.0676829239585 |
L(r)(E,1)/r! |
Ω |
0.40880063773832 |
Real period |
R |
1.2644812245144 |
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 |
1178b1 |
Quadratic twists by: -19 |