Atkin-Lehner |
3+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103455b |
Isogeny class |
Conductor |
103455 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-2255554786876875 = -1 · 33 · 54 · 117 · 193 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 0 11- 1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-363,2284994] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:-1513:1] [-1038:3071:8] |
Generators of the group modulo torsion |
j |
-110592/47155625 |
j-invariant |
L |
5.7359034213947 |
L(r)(E,1)/r! |
Ω |
0.36731783210079 |
Real period |
R |
0.97597756639403 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991717 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103455e1 9405b1 |
Quadratic twists by: -3 -11 |