Atkin-Lehner |
2- 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
84270y |
Isogeny class |
Conductor |
84270 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
1923264 |
Modular degree for the optimal curve |
Δ |
-2988465139745328000 = -1 · 27 · 3 · 53 · 538 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -5 -5 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,133369,81088253] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:8914:1] |
Generators of the group modulo torsion |
j |
4213871/48000 |
j-invariant |
L |
6.9946789135329 |
L(r)(E,1)/r! |
Ω |
0.18690461766662 |
Real period |
R |
5.3462555216904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005612 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84270t1 |
Quadratic twists by: 53 |