Atkin-Lehner |
2+ 3+ 5- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
101970h |
Isogeny class |
Conductor |
101970 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
5145600 |
Modular degree for the optimal curve |
Δ |
784989532800000 = 210 · 39 · 55 · 112 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 11- 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21907329,-39461354947] |
[a1,a2,a3,a4,a6] |
Generators |
[2775304:-17844477:512] |
Generators of the group modulo torsion |
j |
59074590815239198254147/39881600000 |
j-invariant |
L |
6.9999821571118 |
L(r)(E,1)/r! |
Ω |
0.069783411368193 |
Real period |
R |
10.031011703764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999993547 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101970be1 |
Quadratic twists by: -3 |