Atkin-Lehner |
2- 3- 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
54390dc |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
1080 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-115154396957376000 = -1 · 29 · 310 · 53 · 77 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,40865,16017497] |
[a1,a2,a3,a4,a6] |
Generators |
[704:19493:1] |
Generators of the group modulo torsion |
j |
64148915349791/978796224000 |
j-invariant |
L |
12.141004720389 |
L(r)(E,1)/r! |
Ω |
0.246934427837 |
Real period |
R |
0.045524923907311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7770o1 |
Quadratic twists by: -7 |