Atkin-Lehner |
2+ 37+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
101824b |
Isogeny class |
Conductor |
101824 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9123840 |
Modular degree for the optimal curve |
Δ |
3884207137350565888 = 214 · 375 · 434 |
Discriminant |
Eigenvalues |
2+ -3 0 1 3 -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-65514880,-204107043296] |
[a1,a2,a3,a4,a6] |
Generators |
[-1194133165350820928108029:23897515095494190532913:255477695061741780187] |
Generators of the group modulo torsion |
j |
1898119813080763662336000/237073189535557 |
j-invariant |
L |
3.4809980004469 |
L(r)(E,1)/r! |
Ω |
0.053065782232166 |
Real period |
R |
32.798894636258 |
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 |
101824j1 6364b1 |
Quadratic twists by: -4 8 |