Atkin-Lehner |
2- 3+ 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73950ce |
Isogeny class |
Conductor |
73950 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
30844800 |
Modular degree for the optimal curve |
Δ |
1.0981341204864E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 1 6 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-353278138,-2550948118969] |
[a1,a2,a3,a4,a6] |
Generators |
[-88402:530295:8] |
Generators of the group modulo torsion |
j |
499314245808709981602025/1124489339378062848 |
j-invariant |
L |
9.8689081948375 |
L(r)(E,1)/r! |
Ω |
0.034828047769451 |
Real period |
R |
3.1484548375453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001478 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73950bo1 |
Quadratic twists by: 5 |