Atkin-Lehner |
2+ 3- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35112g |
Isogeny class |
Conductor |
35112 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4931410176 = 28 · 32 · 72 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11- -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5852,-174240] |
[a1,a2,a3,a4,a6] |
Generators |
[37620:630168:125] |
Generators of the group modulo torsion |
j |
86590632123088/19263321 |
j-invariant |
L |
7.8292927629491 |
L(r)(E,1)/r! |
Ω |
0.54584971613548 |
Real period |
R |
7.1716559810443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
70224i2 105336bl2 |
Quadratic twists by: -4 -3 |