Atkin-Lehner |
3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
4719h |
Isogeny class |
Conductor |
4719 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-101613269043 = -1 · 35 · 114 · 134 |
Discriminant |
Eigenvalues |
2 3+ 0 -3 11- 13- 8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1008,-19339] |
[a1,a2,a3,a4,a6] |
Generators |
[314:35:8] |
Generators of the group modulo torsion |
j |
-7744000000/6940323 |
j-invariant |
L |
5.7955618086961 |
L(r)(E,1)/r! |
Ω |
0.40839893958164 |
Real period |
R |
3.5477331397047 |
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 |
75504cv1 14157u1 117975bq1 4719e1 |
Quadratic twists by: -4 -3 5 -11 |