Atkin-Lehner |
2- 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
19530bv |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
1877305992187500000 = 25 · 36 · 512 · 73 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-436028,-88972513] |
[a1,a2,a3,a4,a6] |
Generators |
[-303:4057:1] |
Generators of the group modulo torsion |
j |
12575880055729259641/2575179687500000 |
j-invariant |
L |
7.6135478160665 |
L(r)(E,1)/r! |
Ω |
0.18846267269754 |
Real period |
R |
1.3466057950346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2170h2 97650y2 |
Quadratic twists by: -3 5 |