Atkin-Lehner |
7- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
107219n |
Isogeny class |
Conductor |
107219 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-7269708883806299 = -1 · 7 · 178 · 533 |
Discriminant |
Eigenvalues |
0 1 3 7- 0 -4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-337359,-75644051] |
[a1,a2,a3,a4,a6] |
Generators |
[21888763100787074313962372413845885524480390937630:2392050341501824734930834007665664483669952948965273:1828589219622562879663116179441810547232143000] |
Generators of the group modulo torsion |
j |
-608710131712/1042139 |
j-invariant |
L |
7.8138758023839 |
L(r)(E,1)/r! |
Ω |
0.099037988925203 |
Real period |
R |
78.897763244014 |
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 |
107219a2 |
Quadratic twists by: 17 |