Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
84700g |
Isogeny class |
Conductor |
84700 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
42840 |
Modular degree for the optimal curve |
Δ |
-4960370800 = -1 · 24 · 52 · 7 · 116 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11- 6 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-605,-6655] |
[a1,a2,a3,a4,a6] |
Generators |
[25066600:1003879837:15625] |
Generators of the group modulo torsion |
j |
-34560/7 |
j-invariant |
L |
6.5835138603386 |
L(r)(E,1)/r! |
Ω |
0.47612719913966 |
Real period |
R |
13.827216484514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005573 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84700bj1 700c1 |
Quadratic twists by: 5 -11 |