Atkin-Lehner |
3+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113925m |
Isogeny class |
Conductor |
113925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
65430169653515625 = 38 · 58 · 77 · 31 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-171525,24345000] |
[a1,a2,a3,a4,a6] |
j |
303599943361/35593425 |
j-invariant |
L |
0.67395023351253 |
L(r)(E,1)/r! |
Ω |
0.33697509656679 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22785n1 16275s1 |
Quadratic twists by: 5 -7 |