Atkin-Lehner |
2+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
120032d |
Isogeny class |
Conductor |
120032 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
-309300378112 = -1 · 29 · 117 · 31 |
Discriminant |
Eigenvalues |
2+ 0 2 -1 11- 4 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21659,-1227182] |
[a1,a2,a3,a4,a6] |
Generators |
[3505511261274:2798842150786:20593355021] |
Generators of the group modulo torsion |
j |
-1238833224/341 |
j-invariant |
L |
7.4678291848793 |
L(r)(E,1)/r! |
Ω |
0.19676723700812 |
Real period |
R |
18.976302402852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120032f1 10912e1 |
Quadratic twists by: -4 -11 |