Atkin-Lehner |
5- 13+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
104975n |
Isogeny class |
Conductor |
104975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
529795703125 = 58 · 13 · 172 · 192 |
Discriminant |
Eigenvalues |
0 1 5- -2 2 13+ 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-15083,707119] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:1130:1] [59:161:1] |
Generators of the group modulo torsion |
j |
971528765440/1356277 |
j-invariant |
L |
10.742547960599 |
L(r)(E,1)/r! |
Ω |
0.92437633584557 |
Real period |
R |
2.9053502191958 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000676 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104975h1 |
Quadratic twists by: 5 |