Atkin-Lehner |
2- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
115640ba |
Isogeny class |
Conductor |
115640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
-1156400 = -1 · 24 · 52 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 1 5- 7- -6 2 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5,-50] |
[a1,a2,a3,a4,a6] |
Generators |
[3:1:1] |
Generators of the group modulo torsion |
j |
14336/1475 |
j-invariant |
L |
7.6488433726421 |
L(r)(E,1)/r! |
Ω |
1.3015921489387 |
Real period |
R |
1.4691321289661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999913434 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115640k1 |
Quadratic twists by: -7 |