Atkin-Lehner |
2+ 7- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
83398c |
Isogeny class |
Conductor |
83398 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
17668069514572232 = 23 · 78 · 234 · 372 |
Discriminant |
Eigenvalues |
2+ -2 -4 7- -4 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2858343,-1860255358] |
[a1,a2,a3,a4,a6] |
Generators |
[15028:1822561:1] |
Generators of the group modulo torsion |
j |
21952211680680400729/150176112968 |
j-invariant |
L |
2.2012920055218 |
L(r)(E,1)/r! |
Ω |
0.11611041183047 |
Real period |
R |
4.739652497616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999627296 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11914c2 |
Quadratic twists by: -7 |