Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
22344k |
Isogeny class |
Conductor |
22344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
-226175735346763776 = -1 · 211 · 3 · 710 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 3 -4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1518232,-719895476] |
[a1,a2,a3,a4,a6] |
Generators |
[3153255:299451286:343] |
Generators of the group modulo torsion |
j |
-669003004754/390963 |
j-invariant |
L |
2.9605802354338 |
L(r)(E,1)/r! |
Ω |
0.068001701197092 |
Real period |
R |
10.884213862728 |
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 |
44688bd1 67032cu1 22344n1 |
Quadratic twists by: -4 -3 -7 |