Atkin-Lehner |
2- 3- 5- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
113520bu |
Isogeny class |
Conductor |
113520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-7672135680 = -1 · 215 · 32 · 5 · 112 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 11- -3 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,440,2420] |
[a1,a2,a3,a4,a6] |
Generators |
[44:330:1] |
Generators of the group modulo torsion |
j |
2294744759/1873080 |
j-invariant |
L |
10.994279258893 |
L(r)(E,1)/r! |
Ω |
0.85089646319212 |
Real period |
R |
1.6151023834679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011466 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14190f1 |
Quadratic twists by: -4 |