Atkin-Lehner |
2- 3- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
59472ba |
Isogeny class |
Conductor |
59472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
38357807136768 = 219 · 311 · 7 · 59 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9865691139,-377171949199358] |
[a1,a2,a3,a4,a6] |
Generators |
[-2905641760865142092525208946309161267174238927989505660443210593355:530992987205330392812137129145688296173136067924298341312714:50668603945306064174095660492032091302415317776588381076594875] |
Generators of the group modulo torsion |
j |
35564669815710772986504708097/12845952 |
j-invariant |
L |
5.7640231263538 |
L(r)(E,1)/r! |
Ω |
0.01514843179636 |
Real period |
R |
95.125739809896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7434e3 19824v3 |
Quadratic twists by: -4 -3 |