Atkin-Lehner |
3+ 5- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
78045d |
Isogeny class |
Conductor |
78045 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
316800 |
Modular degree for the optimal curve |
Δ |
93326497815375 = 34 · 53 · 118 · 43 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 11- 4 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-46890,-3899928] |
[a1,a2,a3,a4,a6] |
Generators |
[292:2576:1] |
Generators of the group modulo torsion |
j |
53189206081/435375 |
j-invariant |
L |
3.8848785809412 |
L(r)(E,1)/r! |
Ω |
0.32459651635447 |
Real period |
R |
0.6649072837208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999992382 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78045h1 |
Quadratic twists by: -11 |