Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79968bq |
Isogeny class |
Conductor |
79968 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
176258908224 = 26 · 34 · 76 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5014,-133496] |
[a1,a2,a3,a4,a6] |
Generators |
[84:176:1] |
Generators of the group modulo torsion |
j |
1851804352/23409 |
j-invariant |
L |
5.0842602233957 |
L(r)(E,1)/r! |
Ω |
0.56777768830066 |
Real period |
R |
4.4773335854153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999953578 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
79968cn1 1632l1 |
Quadratic twists by: -4 -7 |