Atkin-Lehner |
3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
84525df |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-9788902323046875 = -1 · 33 · 58 · 79 · 23 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -3 -2 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-309951,-66614327] |
[a1,a2,a3,a4,a6] |
Generators |
[1033:26237:1] |
Generators of the group modulo torsion |
j |
-208909615/621 |
j-invariant |
L |
7.815335745666 |
L(r)(E,1)/r! |
Ω |
0.10115076071999 |
Real period |
R |
4.2924572774579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005314 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84525o1 84525bh1 |
Quadratic twists by: 5 -7 |