Atkin-Lehner |
3- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
4305f |
Isogeny class |
Conductor |
4305 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2240 |
Modular degree for the optimal curve |
Δ |
110315625 = 3 · 55 · 7 · 412 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 4 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1354,-19273] |
[a1,a2,a3,a4,a6] |
Generators |
[9496905:45155404:166375] |
Generators of the group modulo torsion |
j |
274232262365209/110315625 |
j-invariant |
L |
4.8709433258255 |
L(r)(E,1)/r! |
Ω |
0.78712517594466 |
Real period |
R |
12.376540541928 |
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 |
68880bm1 12915p1 21525k1 30135l1 |
Quadratic twists by: -4 -3 5 -7 |