Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97104z |
Isogeny class |
Conductor |
97104 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-3003149335850447616 = -1 · 28 · 35 · 76 · 177 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 1 -3 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,34295,-83329789] |
[a1,a2,a3,a4,a6] |
Generators |
[470:6069:1] |
Generators of the group modulo torsion |
j |
721888256/486008019 |
j-invariant |
L |
9.5037199297336 |
L(r)(E,1)/r! |
Ω |
0.11833734481249 |
Real period |
R |
1.3385067273113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002434 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48552w1 5712a1 |
Quadratic twists by: -4 17 |