Atkin-Lehner |
2- 3- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
98208t |
Isogeny class |
Conductor |
98208 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
13316415552 = 26 · 39 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11+ -2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-705,4592] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:108:1] |
Generators of the group modulo torsion |
j |
830584000/285417 |
j-invariant |
L |
6.2385485407064 |
L(r)(E,1)/r! |
Ω |
1.1570759825091 |
Real period |
R |
1.3479124599816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000774 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98208z1 32736a1 |
Quadratic twists by: -4 -3 |