Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
15600bm |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-2.3541231528777E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 3 13- 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5684848,5717413312] |
[a1,a2,a3,a4,a6] |
Generators |
[-182:82134:1] |
Generators of the group modulo torsion |
j |
-198417696411528597145/22989483914821632 |
j-invariant |
L |
3.8260448464951 |
L(r)(E,1)/r! |
Ω |
0.14136305193733 |
Real period |
R |
1.353269045221 |
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 |
1950y1 62400gq1 46800eg1 15600co2 |
Quadratic twists by: -4 8 -3 5 |