Atkin-Lehner |
2- 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
24402o |
Isogeny class |
Conductor |
24402 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
5765760 |
Modular degree for the optimal curve |
Δ |
-1.7435846120855E+25 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -3 2 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,61629847,-75350185513] |
[a1,a2,a3,a4,a6] |
Generators |
[20334369:2177237888:12167] |
Generators of the group modulo torsion |
j |
641526528753125401625/432076520962676736 |
j-invariant |
L |
6.4585747384087 |
L(r)(E,1)/r! |
Ω |
0.039295566407286 |
Real period |
R |
3.7354287755494 |
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 |
73206n1 24402bb1 |
Quadratic twists by: -3 -7 |