Atkin-Lehner |
2+ 5- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
35150m |
Isogeny class |
Conductor |
35150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
61776125000000 = 26 · 59 · 192 · 372 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 -4 -6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-58410617,171839386541] |
[a1,a2,a3,a4,a6] |
Generators |
[5194:89903:1] |
Generators of the group modulo torsion |
j |
11284155405372164711733/31629376 |
j-invariant |
L |
2.2592484863783 |
L(r)(E,1)/r! |
Ω |
0.2912369044216 |
Real period |
R |
1.9393562869935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35150ba2 |
Quadratic twists by: 5 |