Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
7800q |
Isogeny class |
Conductor |
7800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-1579500000000 = -1 · 28 · 35 · 59 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -3 13- 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2633,80637] |
[a1,a2,a3,a4,a6] |
Generators |
[7:250:1] |
Generators of the group modulo torsion |
j |
-504871936/394875 |
j-invariant |
L |
3.8619574245157 |
L(r)(E,1)/r! |
Ω |
0.77610721249322 |
Real period |
R |
0.62200772044581 |
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 |
15600t1 62400cm1 23400s1 1560f1 |
Quadratic twists by: -4 8 -3 5 |