Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
47432h |
Isogeny class |
Conductor |
47432 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-25824366582547456 = -1 · 210 · 76 · 118 |
Discriminant |
Eigenvalues |
2+ 0 -3 7- 11- -3 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-65219,10043726] |
[a1,a2,a3,a4,a6] |
Generators |
[847:23716:1] |
Generators of the group modulo torsion |
j |
-1188 |
j-invariant |
L |
2.7170652623538 |
L(r)(E,1)/r! |
Ω |
0.34493106814822 |
Real period |
R |
0.65642711284434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000057 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94864p1 968b1 47432u1 |
Quadratic twists by: -4 -7 -11 |