Atkin-Lehner |
2+ 5- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
73810g |
Isogeny class |
Conductor |
73810 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
23774348620000 = 25 · 54 · 117 · 61 |
Discriminant |
Eigenvalues |
2+ -3 5- 0 11- 5 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8674,-201932] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:334:1] |
Generators of the group modulo torsion |
j |
40743095121/13420000 |
j-invariant |
L |
2.6860181492814 |
L(r)(E,1)/r! |
Ω |
0.50773631174134 |
Real period |
R |
0.33063645522231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001684 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6710i1 |
Quadratic twists by: -11 |