Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
77400bx |
Isogeny class |
Conductor |
77400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1182720 |
Modular degree for the optimal curve |
Δ |
-1.49931729243E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 5 3 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,29625,186286250] |
[a1,a2,a3,a4,a6] |
Generators |
[-499:6874:1] |
Generators of the group modulo torsion |
j |
39443120/205667667 |
j-invariant |
L |
8.3761609120537 |
L(r)(E,1)/r! |
Ω |
0.17437998585053 |
Real period |
R |
6.0042447463436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000919 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25800h1 77400g1 |
Quadratic twists by: -3 5 |