Atkin-Lehner |
2- 3+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45570cc |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
-2.3532717412089E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 6 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-304585,-242325385] |
[a1,a2,a3,a4,a6] |
j |
-26562019806177409/200024797593600 |
j-invariant |
L |
5.0298110570136 |
L(r)(E,1)/r! |
Ω |
0.089818054591756 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6510v1 |
Quadratic twists by: -7 |