Atkin-Lehner |
2+ 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
76096a |
Isogeny class |
Conductor |
76096 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
264960 |
Modular degree for the optimal curve |
Δ |
-8388180180992 = -1 · 223 · 293 · 41 |
Discriminant |
Eigenvalues |
2+ -1 2 5 -1 5 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34337,-2441567] |
[a1,a2,a3,a4,a6] |
Generators |
[48358347:322916480:205379] |
Generators of the group modulo torsion |
j |
-17079827632777/31998368 |
j-invariant |
L |
7.74609853863 |
L(r)(E,1)/r! |
Ω |
0.17533925530433 |
Real period |
R |
11.044444279931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967167 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76096f1 2378c1 |
Quadratic twists by: -4 8 |