Atkin-Lehner |
2+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
95506a |
Isogeny class |
Conductor |
95506 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
24114824908352 = 26 · 17 · 536 |
Discriminant |
Eigenvalues |
2+ 2 0 -4 6 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8485,182733] |
[a1,a2,a3,a4,a6] |
Generators |
[121341:499725:1331] |
Generators of the group modulo torsion |
j |
3048625/1088 |
j-invariant |
L |
6.8648101737016 |
L(r)(E,1)/r! |
Ω |
0.61752684982589 |
Real period |
R |
5.5583090549086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001694 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34a1 |
Quadratic twists by: 53 |