Atkin-Lehner |
2- 3+ 31+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
55056m |
Isogeny class |
Conductor |
55056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-29122317574668288 = -1 · 216 · 318 · 31 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 0 5 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,59272,-6066576] |
[a1,a2,a3,a4,a6] |
Generators |
[220:4192:1] |
Generators of the group modulo torsion |
j |
5622185649818375/7109940814128 |
j-invariant |
L |
6.2109939194942 |
L(r)(E,1)/r! |
Ω |
0.19944652464959 |
Real period |
R |
3.8926436111169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6882g1 |
Quadratic twists by: -4 |