Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450he |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
53222400 |
Modular degree for the optimal curve |
Δ |
1.25608621529E+26 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 11- -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4424212805,113266490839197] |
[a1,a2,a3,a4,a6] |
Generators |
[13619:7445640:1] |
Generators of the group modulo torsion |
j |
1296633753003985/17006112 |
j-invariant |
L |
10.387308494554 |
L(r)(E,1)/r! |
Ω |
0.053471775952426 |
Real period |
R |
6.4752593366604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18150t1 54450ck1 54450dp1 |
Quadratic twists by: -3 5 -11 |