Atkin-Lehner |
2+ 3- 5- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
98490x |
Isogeny class |
Conductor |
98490 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
264960 |
Modular degree for the optimal curve |
Δ |
-2443167562500 = -1 · 22 · 35 · 56 · 74 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -6 -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4828,149006] |
[a1,a2,a3,a4,a6] |
Generators |
[-80:197:1] [25:-223:1] |
Generators of the group modulo torsion |
j |
-5182078911961/1017562500 |
j-invariant |
L |
10.284431617357 |
L(r)(E,1)/r! |
Ω |
0.78169714054283 |
Real period |
R |
0.073091902543824 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986343 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98490g1 |
Quadratic twists by: -7 |