Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
2550g |
Isogeny class |
Conductor |
2550 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
3600 |
Modular degree for the optimal curve |
Δ |
12909375000 = 23 · 35 · 58 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 5 -1 -2 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1075,-12875] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:20:1] |
Generators of the group modulo torsion |
j |
352224985/33048 |
j-invariant |
L |
2.342176443086 |
L(r)(E,1)/r! |
Ω |
0.8386861516098 |
Real period |
R |
0.93089110811012 |
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 |
20400dz1 81600fc1 7650cl1 2550bb1 |
Quadratic twists by: -4 8 -3 5 |