Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550fw |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
3964300704000000000 = 214 · 34 · 59 · 76 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -6 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-395701,1514048] |
[a1,a2,a3,a4,a6] |
Generators |
[-269:9542:1] |
Generators of the group modulo torsion |
j |
29819839301/17252352 |
j-invariant |
L |
4.7679368882654 |
L(r)(E,1)/r! |
Ω |
0.20953787960784 |
Real period |
R |
1.4221583971609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017081 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95550ib1 1950d1 |
Quadratic twists by: 5 -7 |