Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
15600bm |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-74880000000000 = -1 · 216 · 32 · 510 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 3 13- 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3646500208,84755659198912] |
[a1,a2,a3,a4,a6] |
Generators |
[4356770:412158:125] |
Generators of the group modulo torsion |
j |
-134057911417971280740025/1872 |
j-invariant |
L |
3.8260448464951 |
L(r)(E,1)/r! |
Ω |
0.14136305193733 |
Real period |
R |
6.766345226105 |
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 |
1950y2 62400gq2 46800eg2 15600co1 |
Quadratic twists by: -4 8 -3 5 |