Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7650bo |
Isogeny class |
Conductor |
7650 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-2844193500000000 = -1 · 28 · 39 · 59 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2320,2564947] |
[a1,a2,a3,a4,a6] |
Generators |
[85:1793:1] |
Generators of the group modulo torsion |
j |
35937/73984 |
j-invariant |
L |
6.2546813859124 |
L(r)(E,1)/r! |
Ω |
0.3549556083646 |
Real period |
R |
1.1013140161966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61200dw1 7650i1 7650h1 |
Quadratic twists by: -4 -3 5 |