Atkin-Lehner |
2- 3- 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
6954o |
Isogeny class |
Conductor |
6954 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
1034880 |
Modular degree for the optimal curve |
Δ |
299913571878657732 = 22 · 37 · 195 · 614 |
Discriminant |
Eigenvalues |
2- 3- -4 -4 4 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-112814780,461198898636] |
[a1,a2,a3,a4,a6] |
Generators |
[4180:248254:1] |
Generators of the group modulo torsion |
j |
158789475730451751965089053121/299913571878657732 |
j-invariant |
L |
5.3126860162893 |
L(r)(E,1)/r! |
Ω |
0.19902756242309 |
Real period |
R |
0.38133167886104 |
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 |
55632n1 20862o1 |
Quadratic twists by: -4 -3 |