Atkin-Lehner |
2+ 3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
101430bu |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
274176 |
Modular degree for the optimal curve |
Δ |
11599010204040 = 23 · 37 · 5 · 78 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -6 -3 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6624,-125672] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:251:1] |
Generators of the group modulo torsion |
j |
7649089/2760 |
j-invariant |
L |
3.1512768624785 |
L(r)(E,1)/r! |
Ω |
0.54509036008105 |
Real period |
R |
0.48176674034373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999709644 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33810bw1 101430bf1 |
Quadratic twists by: -3 -7 |