Atkin-Lehner |
2+ 3- 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
8778h |
Isogeny class |
Conductor |
8778 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
184800 |
Modular degree for the optimal curve |
Δ |
-1069737757611393024 = -1 · 222 · 35 · 73 · 115 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 11+ 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-70962,-50296892] |
[a1,a2,a3,a4,a6] |
Generators |
[4589:307977:1] |
Generators of the group modulo torsion |
j |
-39517772438920743577/1069737757611393024 |
j-invariant |
L |
4.5438585380336 |
L(r)(E,1)/r! |
Ω |
0.11981597675571 |
Real period |
R |
3.7923644751467 |
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 |
70224cb1 26334bp1 61446f1 96558da1 |
Quadratic twists by: -4 -3 -7 -11 |