Atkin-Lehner |
2- 7- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
97328z |
Isogeny class |
Conductor |
97328 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-88686494482432 = -1 · 224 · 7 · 112 · 792 |
Discriminant |
Eigenvalues |
2- 2 2 7- 11+ -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10808,131568] |
[a1,a2,a3,a4,a6] |
Generators |
[48474:778294:729] |
Generators of the group modulo torsion |
j |
34084708870967/21651976192 |
j-invariant |
L |
11.284829647452 |
L(r)(E,1)/r! |
Ω |
0.37583379111247 |
Real period |
R |
7.506529422761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002869 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12166g1 |
Quadratic twists by: -4 |