Atkin-Lehner |
2- 5- 7+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
113050cq |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
1537480000 = 26 · 54 · 7 · 172 · 19 |
Discriminant |
Eigenvalues |
2- -3 5- 7+ -3 1 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1230,16797] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:121:1] [-11:-165:1] |
Generators of the group modulo torsion |
j |
329024297025/2459968 |
j-invariant |
L |
10.679815557468 |
L(r)(E,1)/r! |
Ω |
1.5145396068243 |
Real period |
R |
0.19587572487041 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999976865 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113050r1 |
Quadratic twists by: 5 |