Atkin-Lehner |
2- 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75810cb |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
107251200 |
Modular degree for the optimal curve |
Δ |
2.5039893834551E+26 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -3 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9485547021,-355586706916221] |
[a1,a2,a3,a4,a6] |
Generators |
[-218551315527554574190846203426695739:211861130506838115278364340651262308:3884862823416423925010360660807] |
Generators of the group modulo torsion |
j |
15394828184807958075529/40841010000000 |
j-invariant |
L |
5.8309860354587 |
L(r)(E,1)/r! |
Ω |
0.015297977875687 |
Real period |
R |
54.45151063981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75810bg1 |
Quadratic twists by: -19 |