Atkin-Lehner |
2- 3- 7+ 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
98154bv |
Isogeny class |
Conductor |
98154 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3424512 |
Modular degree for the optimal curve |
Δ |
8363404345374328824 = 23 · 36 · 713 · 192 · 41 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 0 4 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6003272,-5658270893] |
[a1,a2,a3,a4,a6] |
Generators |
[616071900793:42821890923125:101847563] |
Generators of the group modulo torsion |
j |
32821632562202351169849/11472433944272056 |
j-invariant |
L |
11.155312011415 |
L(r)(E,1)/r! |
Ω |
0.096452095002083 |
Real period |
R |
19.276083827199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10906b1 |
Quadratic twists by: -3 |