Atkin-Lehner |
3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
84525cc |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-404541371513671875 = -1 · 37 · 510 · 77 · 23 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 5 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,173542,-12675631] |
[a1,a2,a3,a4,a6] |
Generators |
[20442:1046783:8] |
Generators of the group modulo torsion |
j |
503091200/352107 |
j-invariant |
L |
17.429516072688 |
L(r)(E,1)/r! |
Ω |
0.16904767057632 |
Real period |
R |
7.3645820104989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84525bl1 12075e1 |
Quadratic twists by: 5 -7 |