Atkin-Lehner |
3- 5+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
75705p |
Isogeny class |
Conductor |
75705 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
198725625 = 32 · 54 · 73 · 103 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 2 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-194,767] |
[a1,a2,a3,a4,a6] |
Generators |
[15:28:1] |
Generators of the group modulo torsion |
j |
2336752783/579375 |
j-invariant |
L |
7.7723868968367 |
L(r)(E,1)/r! |
Ω |
1.6757487290695 |
Real period |
R |
2.3190788574669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75705l1 |
Quadratic twists by: -7 |