Atkin-Lehner |
2- 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
12136b |
Isogeny class |
Conductor |
12136 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12480 |
Modular degree for the optimal curve |
Δ |
-2911336690688 = -1 · 210 · 375 · 41 |
Discriminant |
Eigenvalues |
2- 1 -2 0 1 -1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8704,320272] |
[a1,a2,a3,a4,a6] |
Generators |
[48:124:1] |
Generators of the group modulo torsion |
j |
-71224645699588/2843102237 |
j-invariant |
L |
4.6646084900262 |
L(r)(E,1)/r! |
Ω |
0.79719592068431 |
Real period |
R |
2.9256349468159 |
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 |
24272b1 97088j1 109224b1 |
Quadratic twists by: -4 8 -3 |