Atkin-Lehner |
2+ 3+ 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8778a |
Isogeny class |
Conductor |
8778 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
106080 |
Modular degree for the optimal curve |
Δ |
-62207395353793536 = -1 · 210 · 3 · 713 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 11+ 2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-121872,-20352768] |
[a1,a2,a3,a4,a6] |
Generators |
[1920384:96702704:729] |
Generators of the group modulo torsion |
j |
-200189407816023864841/62207395353793536 |
j-invariant |
L |
2.6697880790029 |
L(r)(E,1)/r! |
Ω |
0.12575854249137 |
Real period |
R |
10.614738474669 |
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 |
70224cy1 26334bl1 61446bb1 96558cj1 |
Quadratic twists by: -4 -3 -7 -11 |