Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
42300r |
Isogeny class |
Conductor |
42300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2661120 |
Modular degree for the optimal curve |
Δ |
-7.3865650963505E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 5 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4864200,219750500] |
[a1,a2,a3,a4,a6] |
Generators |
[3376:234774:1] |
Generators of the group modulo torsion |
j |
4364861448544256/2533115602315 |
j-invariant |
L |
6.146151700389 |
L(r)(E,1)/r! |
Ω |
0.079497727435861 |
Real period |
R |
6.442691192387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4700e1 8460l1 |
Quadratic twists by: -3 5 |