Atkin-Lehner |
2+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
45760k |
Isogeny class |
Conductor |
45760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9805824 |
Modular degree for the optimal curve |
Δ |
-9.6347261148531E+25 |
Discriminant |
Eigenvalues |
2+ 1 5+ 1 11- 13- -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-68468641,-520194283841] |
[a1,a2,a3,a4,a6] |
Generators |
[658923692874:-7665618111281:60698457] |
Generators of the group modulo torsion |
j |
-135412551115258010417641/367535633653760000000 |
j-invariant |
L |
6.5751154594429 |
L(r)(E,1)/r! |
Ω |
0.02436045710182 |
Real period |
R |
16.869335189301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45760bf1 1430b1 |
Quadratic twists by: -4 8 |