Atkin-Lehner |
2- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
84700bg |
Isogeny class |
Conductor |
84700 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
2280960 |
Modular degree for the optimal curve |
Δ |
8.08776058013E+19 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11+ -1 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1331000,-402627500] |
[a1,a2,a3,a4,a6] |
j |
1105920/343 |
j-invariant |
L |
2.5914141232392 |
L(r)(E,1)/r! |
Ω |
0.14396744797382 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84700b1 84700y1 |
Quadratic twists by: 5 -11 |