Atkin-Lehner |
3- 5- 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
107415v |
Isogeny class |
Conductor |
107415 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-44503645725 = -1 · 37 · 52 · 7 · 112 · 312 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11+ -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,688,7224] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-147:1] |
Generators of the group modulo torsion |
j |
49471280711/61047525 |
j-invariant |
L |
3.5796479075495 |
L(r)(E,1)/r! |
Ω |
0.7627189421643 |
Real period |
R |
0.58665907181142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039794 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35805b2 |
Quadratic twists by: -3 |