Atkin-Lehner |
3- 5+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
111825n |
Isogeny class |
Conductor |
111825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-251213115234375 = -1 · 36 · 510 · 7 · 712 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 4 -4 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,15183,247216] |
[a1,a2,a3,a4,a6] |
Generators |
[3942708:62560346:35937] |
Generators of the group modulo torsion |
j |
33980740919/22054375 |
j-invariant |
L |
7.3980905200498 |
L(r)(E,1)/r! |
Ω |
0.34613955187273 |
Real period |
R |
10.68657208024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999705735 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12425b1 22365h1 |
Quadratic twists by: -3 5 |