Atkin-Lehner |
3- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
58275v |
Isogeny class |
Conductor |
58275 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
24460800 |
Modular degree for the optimal curve |
Δ |
-2.4112172712716E+24 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- -1 1 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-569688825,-5234183066844] |
[a1,a2,a3,a4,a6] |
Generators |
[94816249:23648683649:1331] |
Generators of the group modulo torsion |
j |
-1795102530323910983888896/211684369494348891 |
j-invariant |
L |
3.5195264688444 |
L(r)(E,1)/r! |
Ω |
0.015451016678746 |
Real period |
R |
8.7610029464903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999332 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19425v1 2331c1 |
Quadratic twists by: -3 5 |