Atkin-Lehner |
2+ 3+ 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
98490b |
Isogeny class |
Conductor |
98490 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1108869120 |
Modular degree for the optimal curve |
Δ |
-3.8646227392092E+33 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-68333299493,-7497810464876787] |
[a1,a2,a3,a4,a6] |
j |
-299938797397883318312656247591881/32848751278882132328448000000 |
j-invariant |
L |
2.2458591654592 |
L(r)(E,1)/r! |
Ω |
0.0046402047106552 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
121 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14070d1 |
Quadratic twists by: -7 |