Atkin-Lehner |
3+ 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
98553h |
Isogeny class |
Conductor |
98553 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-4825145569402431 = -1 · 33 · 7 · 134 · 197 |
Discriminant |
Eigenvalues |
-1 3+ -2 7+ 4 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,6671,3338246] |
[a1,a2,a3,a4,a6] |
Generators |
[158382:3437680:343] |
Generators of the group modulo torsion |
j |
697864103/102562551 |
j-invariant |
L |
2.432964706003 |
L(r)(E,1)/r! |
Ω |
0.33350994954188 |
Real period |
R |
7.2950289177163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999167635 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5187d1 |
Quadratic twists by: -19 |