Atkin-Lehner |
2- 3+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
98208p |
Isogeny class |
Conductor |
98208 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
17554287168 = 26 · 33 · 11 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1005,-10476] |
[a1,a2,a3,a4,a6] |
Generators |
[183:2436:1] |
Generators of the group modulo torsion |
j |
64964808000/10158731 |
j-invariant |
L |
7.5514250386694 |
L(r)(E,1)/r! |
Ω |
0.85685884342023 |
Real period |
R |
4.4064580114071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001086 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98208c1 98208a1 |
Quadratic twists by: -4 -3 |