Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
15600cw |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-105300000000 = -1 · 28 · 34 · 58 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -1 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1708,-31912] |
[a1,a2,a3,a4,a6] |
Generators |
[59:276:1] |
Generators of the group modulo torsion |
j |
-5513680/1053 |
j-invariant |
L |
5.3014586363579 |
L(r)(E,1)/r! |
Ω |
0.36750335069587 |
Real period |
R |
3.6064015649922 |
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 |
3900f1 62400fo1 46800fl1 15600bc1 |
Quadratic twists by: -4 8 -3 5 |