Atkin-Lehner |
2- 3+ 7- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
30702s |
Isogeny class |
Conductor |
30702 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
121266128858112 = 210 · 34 · 76 · 172 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -6 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-233744,43396337] |
[a1,a2,a3,a4,a6] |
Generators |
[261:-635:1] [-467:7373:1] |
Generators of the group modulo torsion |
j |
1412359460860116900097/121266128858112 |
j-invariant |
L |
9.4210572756215 |
L(r)(E,1)/r! |
Ω |
0.56225983037419 |
Real period |
R |
0.27926167365695 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92106bb2 |
Quadratic twists by: -3 |