Atkin-Lehner |
2+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
45760x |
Isogeny class |
Conductor |
45760 |
Conductor |
∏ cp |
400 |
Product of Tamagawa factors cp |
deg |
1126400 |
Modular degree for the optimal curve |
Δ |
-1884068909465600000 = -1 · 217 · 55 · 115 · 134 |
Discriminant |
Eigenvalues |
2+ -1 5- -5 11- 13- -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3039745,2041958657] |
[a1,a2,a3,a4,a6] |
Generators |
[3089:-148720:1] [-1487:57200:1] |
Generators of the group modulo torsion |
j |
-23698747132646144258/14374305034375 |
j-invariant |
L |
7.2832500537578 |
L(r)(E,1)/r! |
Ω |
0.26050406531834 |
Real period |
R |
0.069895742748373 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45760br1 5720d1 |
Quadratic twists by: -4 8 |