Atkin-Lehner |
2- 3+ 7+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
100464x |
Isogeny class |
Conductor |
100464 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
21399133392 = 24 · 34 · 74 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10473,415980] |
[a1,a2,a3,a4,a6] |
Generators |
[44:196:1] |
Generators of the group modulo torsion |
j |
7940694857728000/1337445837 |
j-invariant |
L |
3.9998311039121 |
L(r)(E,1)/r! |
Ω |
1.1714761610191 |
Real period |
R |
1.7071756291621 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25116f1 |
Quadratic twists by: -4 |