Atkin-Lehner |
3+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
87285f |
Isogeny class |
Conductor |
87285 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-70224524844375 = -1 · 3 · 54 · 11 · 237 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11- -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3957,393288] |
[a1,a2,a3,a4,a6] |
Generators |
[-49192:617252:1331] |
Generators of the group modulo torsion |
j |
46268279/474375 |
j-invariant |
L |
4.3195227044487 |
L(r)(E,1)/r! |
Ω |
0.4530643007513 |
Real period |
R |
9.5340169039673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005792 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3795c1 |
Quadratic twists by: -23 |