Atkin-Lehner |
2+ 3- 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
64890v |
Isogeny class |
Conductor |
64890 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
17029731600 = 24 · 310 · 52 · 7 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 -4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10890,440100] |
[a1,a2,a3,a4,a6] |
Generators |
[48:138:1] [-87:894:1] |
Generators of the group modulo torsion |
j |
195930594145441/23360400 |
j-invariant |
L |
7.3051171246408 |
L(r)(E,1)/r! |
Ω |
1.1857976192902 |
Real period |
R |
1.5401272961333 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21630bi1 |
Quadratic twists by: -3 |