Atkin-Lehner |
7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
38437i |
Isogeny class |
Conductor |
38437 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
965377944630701 = 73 · 177 · 193 |
Discriminant |
Eigenvalues |
2 0 -1 7- 6 1 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-65603,-6292325] |
[a1,a2,a3,a4,a6] |
Generators |
[-1054:2019:8] |
Generators of the group modulo torsion |
j |
1293603803136/39994829 |
j-invariant |
L |
11.434552597009 |
L(r)(E,1)/r! |
Ω |
0.29887563498733 |
Real period |
R |
2.1254757755106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2261c1 |
Quadratic twists by: 17 |