Atkin-Lehner |
3- 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
72675bb |
Isogeny class |
Conductor |
72675 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-137801175075 = -1 · 310 · 52 · 173 · 19 |
Discriminant |
Eigenvalues |
2 3- 5+ -4 0 0 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-165,-17879] |
[a1,a2,a3,a4,a6] |
Generators |
[3842:84155:8] |
Generators of the group modulo torsion |
j |
-27258880/7561107 |
j-invariant |
L |
10.002086032608 |
L(r)(E,1)/r! |
Ω |
0.46326069258174 |
Real period |
R |
5.3976552463997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001549 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24225f1 72675bo1 |
Quadratic twists by: -3 5 |