Atkin-Lehner |
2- 11- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
70928k |
Isogeny class |
Conductor |
70928 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2451456 |
Modular degree for the optimal curve |
Δ |
-1404035661998587904 = -1 · 219 · 118 · 13 · 312 |
Discriminant |
Eigenvalues |
2- 3 3 -3 11- 13+ 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,259949,-25451182] |
[a1,a2,a3,a4,a6] |
Generators |
[3459:85184:27] |
Generators of the group modulo torsion |
j |
474272799173478423/342782144042624 |
j-invariant |
L |
13.823452209682 |
L(r)(E,1)/r! |
Ω |
0.15172325684532 |
Real period |
R |
1.4235882174374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000929 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8866c1 |
Quadratic twists by: -4 |