Atkin-Lehner |
2+ 3- 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
98490s |
Isogeny class |
Conductor |
98490 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-15758400 = -1 · 26 · 3 · 52 · 72 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-54,-248] |
[a1,a2,a3,a4,a6] |
Generators |
[13:29:1] |
Generators of the group modulo torsion |
j |
-346016041/321600 |
j-invariant |
L |
6.2541524192173 |
L(r)(E,1)/r! |
Ω |
0.85002870913145 |
Real period |
R |
1.8393944644312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016759 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98490i1 |
Quadratic twists by: -7 |