Atkin-Lehner |
2- 5+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
39050p |
Isogeny class |
Conductor |
39050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
277920 |
Modular degree for the optimal curve |
Δ |
-2456656855468750 = -1 · 2 · 510 · 116 · 71 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 11- -5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14388,-2481469] |
[a1,a2,a3,a4,a6] |
Generators |
[81616938:153672559:474552] |
Generators of the group modulo torsion |
j |
-33730815625/251561662 |
j-invariant |
L |
14.247190680156 |
L(r)(E,1)/r! |
Ω |
0.19275968650475 |
Real period |
R |
12.318611962298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39050k1 |
Quadratic twists by: 5 |