Atkin-Lehner |
2+ 5- 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
15170f |
Isogeny class |
Conductor |
15170 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
8770156250000 = 24 · 510 · 372 · 41 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 -4 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5908,-101694] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:267:1] [-24:174:1] |
Generators of the group modulo torsion |
j |
22800244161687481/8770156250000 |
j-invariant |
L |
3.7259501935593 |
L(r)(E,1)/r! |
Ω |
0.56257956642295 |
Real period |
R |
0.6622974626058 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121360v2 75850l2 |
Quadratic twists by: -4 5 |