Atkin-Lehner |
2+ 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
73800bf |
Isogeny class |
Conductor |
73800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4838400 |
Modular degree for the optimal curve |
Δ |
-1.1544512871683E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 3 2 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48092250,128379585625] |
[a1,a2,a3,a4,a6] |
Generators |
[32002:26001:8] |
Generators of the group modulo torsion |
j |
-2699861305639598080/253377511587 |
j-invariant |
L |
6.0244552259056 |
L(r)(E,1)/r! |
Ω |
0.14764590939494 |
Real period |
R |
5.1004251076641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988895 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24600bm1 73800cb1 |
Quadratic twists by: -3 5 |