Atkin-Lehner |
2- 3+ 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650cs |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
138 |
Product of Tamagawa factors cp |
deg |
2596608 |
Modular degree for the optimal curve |
Δ |
-8.3645463008379E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -5 -2 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,392262,429909831] |
[a1,a2,a3,a4,a6] |
Generators |
[-471:12107:1] |
Generators of the group modulo torsion |
j |
10680026751455380175/133832740813406208 |
j-invariant |
L |
7.4987358718838 |
L(r)(E,1)/r! |
Ω |
0.14193537951635 |
Real period |
R |
0.38284088099591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999559 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55650v1 |
Quadratic twists by: 5 |