Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
59248m |
Isogeny class |
Conductor |
59248 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
-7.1296550294303E+20 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 0 0 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2217392,186860688] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:6342:1] |
Generators of the group modulo torsion |
j |
7953970437500/4703287687 |
j-invariant |
L |
9.9092882817603 |
L(r)(E,1)/r! |
Ω |
0.097807004457951 |
Real period |
R |
5.0657354943976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000094 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29624f1 2576b1 |
Quadratic twists by: -4 -23 |