Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550kr |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
-1.9533566531706E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2453088,-1624735008] |
[a1,a2,a3,a4,a6] |
Generators |
[40548:8138520:1] |
Generators of the group modulo torsion |
j |
-22202140659489025/2656521215712 |
j-invariant |
L |
12.80246279233 |
L(r)(E,1)/r! |
Ω |
0.059915040611104 |
Real period |
R |
7.1225648010843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010127 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550bg1 13650ch1 |
Quadratic twists by: 5 -7 |