Atkin-Lehner |
2- 3- 7+ 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
98154bw |
Isogeny class |
Conductor |
98154 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
33518606105488896 = 29 · 36 · 75 · 194 · 41 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -4 2 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-109751,-10847217] |
[a1,a2,a3,a4,a6] |
j |
200547813826867753/45978883546624 |
j-invariant |
L |
4.7992079525559 |
L(r)(E,1)/r! |
Ω |
0.26662267385683 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10906a1 |
Quadratic twists by: -3 |