Atkin-Lehner |
3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
12075m |
Isogeny class |
Conductor |
12075 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
24000 |
Modular degree for the optimal curve |
Δ |
-323376046875 = -1 · 35 · 56 · 7 · 233 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- -5 2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2408,-52282] |
[a1,a2,a3,a4,a6] |
Generators |
[67:287:1] |
Generators of the group modulo torsion |
j |
-98867482624/20696067 |
j-invariant |
L |
1.7479516086148 |
L(r)(E,1)/r! |
Ω |
0.33697029295543 |
Real period |
R |
0.86454288165102 |
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 |
36225bs1 483a1 84525ct1 |
Quadratic twists by: -3 5 -7 |