Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800ci |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8497004544000000000 = 226 · 33 · 59 · 74 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32743500,72116550000] |
[a1,a2,a3,a4,a6] |
Generators |
[654:225792:1] |
Generators of the group modulo torsion |
j |
280844088456303/614656 |
j-invariant |
L |
7.2069655045602 |
L(r)(E,1)/r! |
Ω |
0.20029202005482 |
Real period |
R |
2.2488931120793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999939896 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800kf2 3150i2 100800cj2 100800bn2 |
Quadratic twists by: -4 8 -3 5 |