Atkin-Lehner |
2- 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60690br |
Isogeny class |
Conductor |
60690 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
925885518659212230 = 2 · 38 · 5 · 7 · 1710 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-248835,11701035] |
[a1,a2,a3,a4,a6] |
Generators |
[9258664970:1111820171989:636056] |
Generators of the group modulo torsion |
j |
70593496254289/38358689670 |
j-invariant |
L |
7.9485372816023 |
L(r)(E,1)/r! |
Ω |
0.24365143280487 |
Real period |
R |
16.311287789595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999341 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3570w4 |
Quadratic twists by: 17 |