Atkin-Lehner |
2+ 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
35574a |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
-238659440874624 = -1 · 27 · 35 · 78 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 11+ 2 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-409763,-101133171] |
[a1,a2,a3,a4,a6] |
Generators |
[7902:167451:8] |
Generators of the group modulo torsion |
j |
-991656390179/31104 |
j-invariant |
L |
2.7208520084554 |
L(r)(E,1)/r! |
Ω |
0.094348590939408 |
Real period |
R |
4.8063816346111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722fh1 35574w1 35574bn1 |
Quadratic twists by: -3 -7 -11 |