Atkin-Lehner |
5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79475s |
Isogeny class |
Conductor |
79475 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-8533762090046875 = -1 · 56 · 113 · 177 |
Discriminant |
Eigenvalues |
-2 0 5+ -5 11- -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,50575,767656] |
[a1,a2,a3,a4,a6] |
Generators |
[34:1589:1] [100:2612:1] |
Generators of the group modulo torsion |
j |
37933056/22627 |
j-invariant |
L |
4.3157892702178 |
L(r)(E,1)/r! |
Ω |
0.25240917836908 |
Real period |
R |
0.71243270188526 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999787 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3179e1 4675g1 |
Quadratic twists by: 5 17 |