Atkin-Lehner |
2+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
102850bn |
Isogeny class |
Conductor |
102850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
748800 |
Modular degree for the optimal curve |
Δ |
-22817545695312500 = -1 · 22 · 59 · 112 · 176 |
Discriminant |
Eigenvalues |
2+ -1 5- -3 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3925,-7265375] |
[a1,a2,a3,a4,a6] |
Generators |
[231:2341:1] |
Generators of the group modulo torsion |
j |
28284883/96550276 |
j-invariant |
L |
2.3523311429199 |
L(r)(E,1)/r! |
Ω |
0.17637296203147 |
Real period |
R |
1.6671568570799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999935628 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102850dn1 102850dp1 |
Quadratic twists by: 5 -11 |