Atkin-Lehner |
2+ 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
98208m |
Isogeny class |
Conductor |
98208 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
133632 |
Modular degree for the optimal curve |
Δ |
-15400585728 = -1 · 29 · 36 · 113 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -4 -5 11- 0 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147,-6010] |
[a1,a2,a3,a4,a6] |
Generators |
[37:-198:1] |
Generators of the group modulo torsion |
j |
-941192/41261 |
j-invariant |
L |
3.3701182890521 |
L(r)(E,1)/r! |
Ω |
0.54406117275804 |
Real period |
R |
0.51619782166647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999474205 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98208x1 10912d1 |
Quadratic twists by: -4 -3 |