Atkin-Lehner |
2+ 3- 5- 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
124830bj |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9408960 |
Modular degree for the optimal curve |
Δ |
322312750497792000 = 227 · 36 · 53 · 192 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 3 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-92072529,-340027328547] |
[a1,a2,a3,a4,a6] |
Generators |
[-270253573880094:135664683699259:48787170264] |
Generators of the group modulo torsion |
j |
118409460759340743173169169/442129973248000 |
j-invariant |
L |
5.6909855942212 |
L(r)(E,1)/r! |
Ω |
0.048737925131819 |
Real period |
R |
19.461181338178 |
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 |
13870e1 |
Quadratic twists by: -3 |