Atkin-Lehner |
5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
45815k |
Isogeny class |
Conductor |
45815 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7695360 |
Modular degree for the optimal curve |
Δ |
139083544840625 = 55 · 77 · 11 · 173 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- 11- -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1206819613,16136887555156] |
[a1,a2,a3,a4,a6] |
Generators |
[394599500376784834:91258587834146199:19615280811209] |
Generators of the group modulo torsion |
j |
1652199744232172318791544721/1182190625 |
j-invariant |
L |
2.0610373887378 |
L(r)(E,1)/r! |
Ω |
0.170329838262 |
Real period |
R |
24.200544188547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999709 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6545f1 |
Quadratic twists by: -7 |