Atkin-Lehner |
2- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
94192o |
Isogeny class |
Conductor |
94192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-4.6586275615053E+19 |
Discriminant |
Eigenvalues |
2- 1 -3 7+ -3 -1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-195392,-330131404] |
[a1,a2,a3,a4,a6] |
Generators |
[860:11774:1] [55236:2390122:27] |
Generators of the group modulo torsion |
j |
-338608873/19120976 |
j-invariant |
L |
10.07635905303 |
L(r)(E,1)/r! |
Ω |
0.08856752508121 |
Real period |
R |
7.1106473871452 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000155 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11774j1 3248k1 |
Quadratic twists by: -4 29 |