Atkin-Lehner |
2+ 3- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
98208h |
Isogeny class |
Conductor |
98208 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
48826857024 = 26 · 38 · 112 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3081,64960] |
[a1,a2,a3,a4,a6] |
Generators |
[11:180:1] |
Generators of the group modulo torsion |
j |
69325227712/1046529 |
j-invariant |
L |
5.1989734263383 |
L(r)(E,1)/r! |
Ω |
1.1320496439525 |
Real period |
R |
2.2962656478895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015601 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
98208k1 32736m1 |
Quadratic twists by: -4 -3 |