Atkin-Lehner |
3+ 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
41745b |
Isogeny class |
Conductor |
41745 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
12398265 = 34 · 5 · 113 · 23 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 11+ 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2131,-38752] |
[a1,a2,a3,a4,a6] |
Generators |
[54:58:1] |
Generators of the group modulo torsion |
j |
804097557899/9315 |
j-invariant |
L |
3.0884551329849 |
L(r)(E,1)/r! |
Ω |
0.70267246032418 |
Real period |
R |
4.3952983891849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999917 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125235be1 41745a1 |
Quadratic twists by: -3 -11 |