Atkin-Lehner |
2+ 5- 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
15170f |
Isogeny class |
Conductor |
15170 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
49757600000 = 28 · 55 · 37 · 412 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 -4 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2628,50498] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:335:1] [-16:305:1] |
Generators of the group modulo torsion |
j |
2006144524069561/49757600000 |
j-invariant |
L |
3.7259501935593 |
L(r)(E,1)/r! |
Ω |
1.1251591328459 |
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 |
121360v1 75850l1 |
Quadratic twists by: -4 5 |