Atkin-Lehner |
2+ 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
3690i |
Isogeny class |
Conductor |
3690 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
101758412813906250 = 2 · 318 · 57 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -2 6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7505604,-7912665522] |
[a1,a2,a3,a4,a6] |
Generators |
[-1583:854:1] |
Generators of the group modulo torsion |
j |
64143574428979927522369/139586300156250 |
j-invariant |
L |
2.6891464511028 |
L(r)(E,1)/r! |
Ω |
0.091212255877724 |
Real period |
R |
2.1058780699601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29520bw2 118080z2 1230i2 18450bn2 |
Quadratic twists by: -4 8 -3 5 |