Atkin-Lehner |
2- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
75200dc |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-9993586688000 = -1 · 214 · 53 · 474 |
Discriminant |
Eigenvalues |
2- 0 5- 0 4 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14620,-697200] |
[a1,a2,a3,a4,a6] |
Generators |
[19060391559:-209895373893:91733851] |
Generators of the group modulo torsion |
j |
-168746928912/4879681 |
j-invariant |
L |
6.0681644702283 |
L(r)(E,1)/r! |
Ω |
0.21671682397283 |
Real period |
R |
14.000215486439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998609 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75200bq2 18800bh2 75200dr2 |
Quadratic twists by: -4 8 5 |