Atkin-Lehner |
2+ 3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
35904f |
Isogeny class |
Conductor |
35904 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
116643141255168 = 224 · 37 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 11+ 0 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34977,2475297] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:1887:1] |
Generators of the group modulo torsion |
j |
18052771191337/444958272 |
j-invariant |
L |
4.5801667339191 |
L(r)(E,1)/r! |
Ω |
0.58940195485532 |
Real period |
R |
3.8854356489556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35904cw1 1122d1 107712cn1 |
Quadratic twists by: -4 8 -3 |