Atkin-Lehner |
3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
77763d |
Isogeny class |
Conductor |
77763 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9326592 |
Modular degree for the optimal curve |
Δ |
-3.3381124463081E+24 |
Discriminant |
Eigenvalues |
1 3+ 0 7- 0 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,13724630,-85692080249] |
[a1,a2,a3,a4,a6] |
Generators |
[15174474168007329264603328642214533412525907252133199320:-1252764944372832710146371975375035337161504743420817455961:2293759686427790392595329835035084369816485903169024] |
Generators of the group modulo torsion |
j |
1349232625/15752961 |
j-invariant |
L |
6.5521721550598 |
L(r)(E,1)/r! |
Ω |
0.039049991246948 |
Real period |
R |
83.89466869421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980325 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11109g1 77763e1 |
Quadratic twists by: -7 -23 |