Atkin-Lehner |
2+ 3+ 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22770c |
Isogeny class |
Conductor |
22770 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
38158848 |
Modular degree for the optimal curve |
Δ |
-5.7815975174072E+29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11- 6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2051884725,51168579758261] |
[a1,a2,a3,a4,a6] |
j |
-48539052565541114766880565763/29373558489088000000000000 |
j-invariant |
L |
1.5072631897607 |
L(r)(E,1)/r! |
Ω |
0.026915414102869 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22770bd1 113850do1 |
Quadratic twists by: -3 5 |