Atkin-Lehner |
3- 5+ 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
109395s |
Isogeny class |
Conductor |
109395 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1728000 |
Modular degree for the optimal curve |
Δ |
-98516625481828125 = -1 · 311 · 56 · 115 · 13 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5+ -1 11- 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1330988,591555156] |
[a1,a2,a3,a4,a6] |
Generators |
[800:-6588:1] [-1114:26841:1] |
Generators of the group modulo torsion |
j |
-357699470915643175801/135139403953125 |
j-invariant |
L |
7.2832492015226 |
L(r)(E,1)/r! |
Ω |
0.33083417601453 |
Real period |
R |
0.55037007446953 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999971378 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36465i1 |
Quadratic twists by: -3 |