Atkin-Lehner |
2- 5+ 37- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
15170l |
Isogeny class |
Conductor |
15170 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
1743824752640 = 212 · 5 · 373 · 412 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 0 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6151,173961] |
[a1,a2,a3,a4,a6] |
Generators |
[-90:69:1] |
Generators of the group modulo torsion |
j |
25737437561323249/1743824752640 |
j-invariant |
L |
5.0242841658213 |
L(r)(E,1)/r! |
Ω |
0.82260457057749 |
Real period |
R |
3.0538878250422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
121360s1 75850a1 |
Quadratic twists by: -4 5 |