Atkin-Lehner |
2- 7- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
114268j |
Isogeny class |
Conductor |
114268 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-9464235216128 = -1 · 28 · 78 · 112 · 53 |
Discriminant |
Eigenvalues |
2- -3 -4 7- 11- -5 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5047,-202370] |
[a1,a2,a3,a4,a6] |
Generators |
[126:1078:1] |
Generators of the group modulo torsion |
j |
-472058064/314237 |
j-invariant |
L |
2.1948896112696 |
L(r)(E,1)/r! |
Ω |
0.27502806625264 |
Real period |
R |
1.9951505792518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999475677 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16324c1 |
Quadratic twists by: -7 |