Atkin-Lehner |
2- 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
15600bx |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
77760 |
Modular degree for the optimal curve |
Δ |
-3275251200000000 = -1 · 215 · 39 · 58 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 0 13- 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4792,2748912] |
[a1,a2,a3,a4,a6] |
j |
7604375/2047032 |
j-invariant |
L |
2.0786157141999 |
L(r)(E,1)/r! |
Ω |
0.34643595236665 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1950m1 62400hu1 46800fn1 15600cg1 |
Quadratic twists by: -4 8 -3 5 |