Atkin-Lehner |
2- 3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33810by |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-955949890560 = -1 · 210 · 3 · 5 · 76 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12006,503523] |
[a1,a2,a3,a4,a6] |
Generators |
[57:-121:1] |
Generators of the group modulo torsion |
j |
-1626794704081/8125440 |
j-invariant |
L |
6.0888408465425 |
L(r)(E,1)/r! |
Ω |
0.88610510183095 |
Real period |
R |
0.68714657369214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101430ck1 690j1 |
Quadratic twists by: -3 -7 |