Atkin-Lehner |
5- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17825i |
Isogeny class |
Conductor |
17825 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
84000 |
Modular degree for the optimal curve |
Δ |
-1286075142578125 = -1 · 59 · 23 · 315 |
Discriminant |
Eigenvalues |
-1 0 5- -4 -6 1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9430,-1758678] |
[a1,a2,a3,a4,a6] |
Generators |
[294:4415:1] |
Generators of the group modulo torsion |
j |
-47477252061/658470473 |
j-invariant |
L |
1.4573516895412 |
L(r)(E,1)/r! |
Ω |
0.20684435207596 |
Real period |
R |
3.5228220517376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17825e1 |
Quadratic twists by: 5 |