Atkin-Lehner |
2+ 3+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
110352f |
Isogeny class |
Conductor |
110352 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-514906467486124032 = -1 · 211 · 32 · 118 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11- 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-475328,130933728] |
[a1,a2,a3,a4,a6] |
Generators |
[-436:15972:1] [26:10890:1] |
Generators of the group modulo torsion |
j |
-3273548323250/141919569 |
j-invariant |
L |
9.9541853925731 |
L(r)(E,1)/r! |
Ω |
0.29088760232152 |
Real period |
R |
2.1387525017161 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999976288 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55176o2 10032b2 |
Quadratic twists by: -4 -11 |