Atkin-Lehner |
2+ 5- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
35150n |
Isogeny class |
Conductor |
35150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-1098437500 = -1 · 22 · 58 · 19 · 37 |
Discriminant |
Eigenvalues |
2+ 0 5- 3 1 -1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-617,-5959] |
[a1,a2,a3,a4,a6] |
Generators |
[44:203:1] |
Generators of the group modulo torsion |
j |
-66560265/2812 |
j-invariant |
L |
4.5042963299341 |
L(r)(E,1)/r! |
Ω |
0.4777412256392 |
Real period |
R |
1.5713863796969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35150z1 |
Quadratic twists by: 5 |