Atkin-Lehner |
2- 23- 67- |
Signs for the Atkin-Lehner involutions |
Class |
98624o |
Isogeny class |
Conductor |
98624 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-213696905216 = -1 · 218 · 233 · 67 |
Discriminant |
Eigenvalues |
2- 1 1 -4 2 -2 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,255,22271] |
[a1,a2,a3,a4,a6] |
Generators |
[79:736:1] [175:2336:1] |
Generators of the group modulo torsion |
j |
6967871/815189 |
j-invariant |
L |
12.695550234265 |
L(r)(E,1)/r! |
Ω |
0.76707255001753 |
Real period |
R |
1.3792209350132 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999987137 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98624b1 24656f1 |
Quadratic twists by: -4 8 |