Atkin-Lehner |
2- 3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
98400bv |
Isogeny class |
Conductor |
98400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
369000000 = 26 · 32 · 56 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 4 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3058,66112] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:336:1] [-8:300:1] |
Generators of the group modulo torsion |
j |
3163575232/369 |
j-invariant |
L |
9.8205478059317 |
L(r)(E,1)/r! |
Ω |
1.6311562263491 |
Real period |
R |
1.5051513226796 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995785 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98400u1 3936a1 |
Quadratic twists by: -4 5 |