Atkin-Lehner |
2- 3+ 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
122640bp |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
396 |
Product of Tamagawa factors cp |
deg |
424714752 |
Modular degree for the optimal curve |
Δ |
-2.5165991059207E+32 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 3 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10176592680,-653004128721168] |
[a1,a2,a3,a4,a6] |
j |
28455809224686390091585605073319/61440407859392166137695312500 |
j-invariant |
L |
3.6043800306668 |
L(r)(E,1)/r! |
Ω |
0.0091019702296838 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15330k1 |
Quadratic twists by: -4 |