Atkin-Lehner |
2+ 7- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
98294k |
Isogeny class |
Conductor |
98294 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
870912 |
Modular degree for the optimal curve |
Δ |
-151976297263529984 = -1 · 218 · 76 · 174 · 59 |
Discriminant |
Eigenvalues |
2+ 1 -1 7- -2 -2 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,49121,18286258] |
[a1,a2,a3,a4,a6] |
Generators |
[1751:-74860:1] [-34:4088:1] |
Generators of the group modulo torsion |
j |
111416568869159/1291777212416 |
j-invariant |
L |
9.0052333428206 |
L(r)(E,1)/r! |
Ω |
0.23967575978648 |
Real period |
R |
4.696570770438 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000505 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2006b1 |
Quadratic twists by: -7 |