Atkin-Lehner |
3+ 5+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
38295b |
Isogeny class |
Conductor |
38295 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-8957448819140625 = -1 · 39 · 58 · 23 · 373 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 1 2 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-167348,-26698544] |
[a1,a2,a3,a4,a6] |
Generators |
[65140:1840523:64] |
Generators of the group modulo torsion |
j |
-26332468049982843/455085546875 |
j-invariant |
L |
3.725155316675 |
L(r)(E,1)/r! |
Ω |
0.11790144853092 |
Real period |
R |
2.6329584037424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38295d1 |
Quadratic twists by: -3 |