Atkin-Lehner |
2+ 3+ 5- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
98490j |
Isogeny class |
Conductor |
98490 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-2323670630400 = -1 · 220 · 33 · 52 · 72 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 -4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,598,-72876] |
[a1,a2,a3,a4,a6] |
Generators |
[868:25166:1] |
Generators of the group modulo torsion |
j |
481388744711/47421849600 |
j-invariant |
L |
3.9244156425186 |
L(r)(E,1)/r! |
Ω |
0.3885368160882 |
Real period |
R |
2.5251246860727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049712 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98490o1 |
Quadratic twists by: -7 |