Atkin-Lehner |
5- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
24805d |
Isogeny class |
Conductor |
24805 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
5492946325625 = 54 · 118 · 41 |
Discriminant |
Eigenvalues |
1 0 5- -4 11- 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13514,-590705] |
[a1,a2,a3,a4,a6] |
Generators |
[-4716:4303:64] |
Generators of the group modulo torsion |
j |
154076860881/3100625 |
j-invariant |
L |
4.9406155106322 |
L(r)(E,1)/r! |
Ω |
0.44333626878869 |
Real period |
R |
5.5720858617447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124025d1 2255a1 |
Quadratic twists by: 5 -11 |