Atkin-Lehner |
2- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
30800ce |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3118165180641280000 = -1 · 215 · 54 · 712 · 11 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 11+ -1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,158192,81381312] |
[a1,a2,a3,a4,a6] |
Generators |
[4508712:208944624:2197] |
Generators of the group modulo torsion |
j |
171015136702175/1218033273688 |
j-invariant |
L |
7.5842360872467 |
L(r)(E,1)/r! |
Ω |
0.18378455094358 |
Real period |
R |
5.1583743358104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3850bb2 123200he2 30800bm2 |
Quadratic twists by: -4 8 5 |