Atkin-Lehner |
2- 5+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
31450j |
Isogeny class |
Conductor |
31450 |
Conductor |
∏ cp |
138 |
Product of Tamagawa factors cp |
deg |
4504320 |
Modular degree for the optimal curve |
Δ |
-2.3566751046369E+23 |
Discriminant |
Eigenvalues |
2- 0 5+ -5 -4 3 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,11438120,-17998121253] |
[a1,a2,a3,a4,a6] |
Generators |
[3309:-238455:1] |
Generators of the group modulo torsion |
j |
10591748678688017690871/15082720669676339200 |
j-invariant |
L |
6.0568718661332 |
L(r)(E,1)/r! |
Ω |
0.052596540053055 |
Real period |
R |
0.83447268199144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6290c1 |
Quadratic twists by: 5 |