Atkin-Lehner |
3- 5- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
29325u |
Isogeny class |
Conductor |
29325 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
-7.2445930577162E+19 |
Discriminant |
Eigenvalues |
1 3- 5- 2 0 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,145549,-408940327] |
[a1,a2,a3,a4,a6] |
Generators |
[49537257:-1789500973:35937] |
Generators of the group modulo torsion |
j |
174592522712971/37092316455507 |
j-invariant |
L |
9.0444380254109 |
L(r)(E,1)/r! |
Ω |
0.091537081386854 |
Real period |
R |
8.2338562401717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87975bh1 29325l1 |
Quadratic twists by: -3 5 |