Atkin-Lehner |
2+ 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103360bf |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-132300800 = -1 · 214 · 52 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 2 6 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1445,20675] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:185:1] |
Generators of the group modulo torsion |
j |
-20380171264/8075 |
j-invariant |
L |
10.440382860769 |
L(r)(E,1)/r! |
Ω |
1.8166105426261 |
Real period |
R |
2.8735886426533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013352 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103360cr1 12920b1 |
Quadratic twists by: -4 8 |