Atkin-Lehner |
2- 5+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
52030s |
Isogeny class |
Conductor |
52030 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-737394550640 = -1 · 24 · 5 · 118 · 43 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11- 4 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1233,-44239] |
[a1,a2,a3,a4,a6] |
Generators |
[48264:394877:512] |
Generators of the group modulo torsion |
j |
-116930169/416240 |
j-invariant |
L |
7.9044849771022 |
L(r)(E,1)/r! |
Ω |
0.3695916125818 |
Real period |
R |
5.3467697236582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4730a1 |
Quadratic twists by: -11 |