Atkin-Lehner |
2+ 5+ 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
113050s |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-989187500000 = -1 · 25 · 59 · 72 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- -3 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1,-47852] |
[a1,a2,a3,a4,a6] |
Generators |
[62:406:1] |
Generators of the group modulo torsion |
j |
-1/63308000 |
j-invariant |
L |
5.3334367944733 |
L(r)(E,1)/r! |
Ω |
0.40305522019163 |
Real period |
R |
1.6540651634151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009864 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22610u1 |
Quadratic twists by: 5 |