Atkin-Lehner |
2+ 3+ 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
54390m |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-375434312211000 = -1 · 23 · 32 · 53 · 77 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 1 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-167752,26392024] |
[a1,a2,a3,a4,a6] |
Generators |
[-2626:55703:8] [-267:7361:1] |
Generators of the group modulo torsion |
j |
-4437543642183289/3191139000 |
j-invariant |
L |
6.7394255873873 |
L(r)(E,1)/r! |
Ω |
0.5310803545379 |
Real period |
R |
0.17625041551317 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7770j2 |
Quadratic twists by: -7 |