Atkin-Lehner |
2- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
23120bm |
Isogeny class |
Conductor |
23120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-16807472046080 = -1 · 213 · 5 · 177 |
Discriminant |
Eigenvalues |
2- 3 5- 2 -4 -3 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47107,3940226] |
[a1,a2,a3,a4,a6] |
Generators |
[3315:2312:27] |
Generators of the group modulo torsion |
j |
-116930169/170 |
j-invariant |
L |
9.9206183291738 |
L(r)(E,1)/r! |
Ω |
0.69324430527553 |
Real period |
R |
1.788802708814 |
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 |
2890l1 92480do1 115600ce1 1360h1 |
Quadratic twists by: -4 8 5 17 |