Atkin-Lehner |
2+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
94640bd |
Isogeny class |
Conductor |
94640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-29692598244400 = -1 · 24 · 52 · 7 · 139 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 2 13- 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1465,-260792] |
[a1,a2,a3,a4,a6] |
Generators |
[35948040:-3710215016:3375] |
Generators of the group modulo torsion |
j |
2048/175 |
j-invariant |
L |
4.6244374246459 |
L(r)(E,1)/r! |
Ω |
0.31473415843007 |
Real period |
R |
14.693153891192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000039 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47320bi1 94640r1 |
Quadratic twists by: -4 13 |