Atkin-Lehner |
2- 3+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
15096d |
Isogeny class |
Conductor |
15096 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-642808452096 = -1 · 210 · 36 · 17 · 373 |
Discriminant |
Eigenvalues |
2- 3+ -3 -3 5 -6 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1232,-41604] |
[a1,a2,a3,a4,a6] |
Generators |
[254:3996:1] |
Generators of the group modulo torsion |
j |
-202119559492/627742629 |
j-invariant |
L |
2.3843554975969 |
L(r)(E,1)/r! |
Ω |
0.37186172315533 |
Real period |
R |
0.53432843203228 |
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 |
30192g1 120768bc1 45288h1 |
Quadratic twists by: -4 8 -3 |