Atkin-Lehner |
2+ 3+ 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
76560g |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-101901360 = -1 · 24 · 3 · 5 · 114 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,105,222] |
[a1,a2,a3,a4,a6] |
Generators |
[68:1169:64] |
Generators of the group modulo torsion |
j |
7925540864/6368835 |
j-invariant |
L |
6.402236209832 |
L(r)(E,1)/r! |
Ω |
1.2175691887005 |
Real period |
R |
5.2582114165142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002204 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38280s1 |
Quadratic twists by: -4 |