Atkin-Lehner |
2- 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
103360cn |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
105 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
-973205950960000000 = -1 · 210 · 57 · 173 · 195 |
Discriminant |
Eigenvalues |
2- 0 5- -1 2 1 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1324052,588333496] |
[a1,a2,a3,a4,a6] |
Generators |
[2997:153425:1] |
Generators of the group modulo torsion |
j |
-250691079491614289664/950396436484375 |
j-invariant |
L |
7.4116149621145 |
L(r)(E,1)/r! |
Ω |
0.27961251641551 |
Real period |
R |
0.25244509893041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999708588 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103360bc1 25840u1 |
Quadratic twists by: -4 8 |