Atkin-Lehner |
2+ 3+ 5- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
98490i |
Isogeny class |
Conductor |
98490 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-1853960001600 = -1 · 26 · 3 · 52 · 78 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -2 -6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2622,82356] |
[a1,a2,a3,a4,a6] |
Generators |
[20:-206:1] [17:199:1] |
Generators of the group modulo torsion |
j |
-346016041/321600 |
j-invariant |
L |
7.3907392861905 |
L(r)(E,1)/r! |
Ω |
0.76142427224458 |
Real period |
R |
0.80887221880076 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996209 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98490s1 |
Quadratic twists by: -7 |