Atkin-Lehner |
3+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7245a |
Isogeny class |
Conductor |
7245 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
-1980601875 = -1 · 39 · 54 · 7 · 23 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7+ 1 0 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-783,-8701] |
[a1,a2,a3,a4,a6] |
Generators |
[5316:45193:64] |
Generators of the group modulo torsion |
j |
-2697228288/100625 |
j-invariant |
L |
7.4089328475665 |
L(r)(E,1)/r! |
Ω |
0.4502763787606 |
Real period |
R |
4.1135473661531 |
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 |
115920ci1 7245h1 36225o1 50715e1 |
Quadratic twists by: -4 -3 5 -7 |