Atkin-Lehner |
2+ 3- 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
108150bp |
Isogeny class |
Conductor |
108150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
2336040000000000 = 212 · 34 · 510 · 7 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-43751,2641898] |
[a1,a2,a3,a4,a6] |
Generators |
[-153:2476:1] [-78:2401:1] |
Generators of the group modulo torsion |
j |
592725168252001/149506560000 |
j-invariant |
L |
10.327762326152 |
L(r)(E,1)/r! |
Ω |
0.4311512861898 |
Real period |
R |
2.9942396841091 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999984878 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21630q1 |
Quadratic twists by: 5 |