Atkin-Lehner |
2+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
95648k |
Isogeny class |
Conductor |
95648 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
267456 |
Modular degree for the optimal curve |
Δ |
-8822266976768 = -1 · 29 · 710 · 61 |
Discriminant |
Eigenvalues |
2+ -1 -4 7- 4 4 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-800,-142904] |
[a1,a2,a3,a4,a6] |
Generators |
[326139:5035528:1331] |
Generators of the group modulo torsion |
j |
-392/61 |
j-invariant |
L |
3.3976611081265 |
L(r)(E,1)/r! |
Ω |
0.32579574971559 |
Real period |
R |
10.428807310077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95648s1 95648a1 |
Quadratic twists by: -4 -7 |