Atkin-Lehner |
2+ 3- 5- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
52290bf |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1313280 |
Modular degree for the optimal curve |
Δ |
-59771234880 = -1 · 26 · 38 · 5 · 73 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 -4 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14497974,-21243937100] |
[a1,a2,a3,a4,a6] |
Generators |
[3340109729468580:260241567930938794:406045955125] |
Generators of the group modulo torsion |
j |
-462293886638864253441889/81990720 |
j-invariant |
L |
4.028188033706 |
L(r)(E,1)/r! |
Ω |
0.038685011336921 |
Real period |
R |
26.031968807138 |
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 |
17430t1 |
Quadratic twists by: -3 |