Atkin-Lehner |
2+ 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
74048m |
Isogeny class |
Conductor |
74048 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
18956288 = 214 · 13 · 89 |
Discriminant |
Eigenvalues |
2+ 2 2 3 0 13- 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-117,-403] |
[a1,a2,a3,a4,a6] |
Generators |
[-128196:124991:19683] |
Generators of the group modulo torsion |
j |
10903552/1157 |
j-invariant |
L |
12.631266817739 |
L(r)(E,1)/r! |
Ω |
1.4605495890342 |
Real period |
R |
8.6482971286658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000491 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74048bb1 4628a1 |
Quadratic twists by: -4 8 |