Atkin-Lehner |
2- 3- 7+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
98406j |
Isogeny class |
Conductor |
98406 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-6026053583088 = -1 · 24 · 36 · 7 · 114 · 712 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-103091,-12715005] |
[a1,a2,a3,a4,a6] |
j |
-166208982750721513/8266191472 |
j-invariant |
L |
2.1314904764351 |
L(r)(E,1)/r! |
Ω |
0.13321815178521 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10934b1 |
Quadratic twists by: -3 |