Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680ch |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-220361420160000 = -1 · 210 · 310 · 54 · 73 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12093,-498094] |
[a1,a2,a3,a4,a6] |
Generators |
[97:-1260:1] |
Generators of the group modulo torsion |
j |
261998247164/295194375 |
j-invariant |
L |
7.5235738593624 |
L(r)(E,1)/r! |
Ω |
0.30198976621507 |
Real period |
R |
0.51902792575318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007194 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42840ce1 28560i1 |
Quadratic twists by: -4 -3 |