Atkin-Lehner |
2+ 5- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
38350l |
Isogeny class |
Conductor |
38350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
147840 |
Modular degree for the optimal curve |
Δ |
-470631200000000 = -1 · 211 · 58 · 132 · 592 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 -3 13- 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-43576,3649798] |
[a1,a2,a3,a4,a6] |
Generators |
[152:661:1] |
Generators of the group modulo torsion |
j |
-23425638524185/1204815872 |
j-invariant |
L |
4.9566377628953 |
L(r)(E,1)/r! |
Ω |
0.51974008420989 |
Real period |
R |
0.79473021122808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38350p1 |
Quadratic twists by: 5 |