Atkin-Lehner |
2- 3+ 5+ 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
116850bq |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-55451992753125000 = -1 · 23 · 34 · 58 · 194 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-42713,-11845969] |
[a1,a2,a3,a4,a6] |
Generators |
[345:3652:1] [545:11002:1] |
Generators of the group modulo torsion |
j |
-551549567926729/3548927536200 |
j-invariant |
L |
14.185299534995 |
L(r)(E,1)/r! |
Ω |
0.14800104886552 |
Real period |
R |
7.9871616014396 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000942 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23370c2 |
Quadratic twists by: 5 |