Atkin-Lehner |
3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
2499f |
Isogeny class |
Conductor |
2499 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-84967401939 = -1 · 3 · 78 · 173 |
Discriminant |
Eigenvalues |
2 3+ -1 7- 1 -1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,964,7685] |
[a1,a2,a3,a4,a6] |
Generators |
[26:829:8] |
Generators of the group modulo torsion |
j |
841232384/722211 |
j-invariant |
L |
4.9185990293714 |
L(r)(E,1)/r! |
Ω |
0.7002306822974 |
Real period |
R |
1.1707092042949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39984dp1 7497j1 62475by1 357c1 |
Quadratic twists by: -4 -3 5 -7 |