Atkin-Lehner |
5- 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
120935a |
Isogeny class |
Conductor |
120935 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
57456 |
Modular degree for the optimal curve |
Δ |
-78801850675 = -1 · 52 · 196 · 67 |
Discriminant |
Eigenvalues |
0 0 5- -2 -2 2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-722,-15433] |
[a1,a2,a3,a4,a6] |
Generators |
[466:2991:8] |
Generators of the group modulo torsion |
j |
-884736/1675 |
j-invariant |
L |
4.2671680667663 |
L(r)(E,1)/r! |
Ω |
0.43358721481498 |
Real period |
R |
4.9207724398722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000077056 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
335a1 |
Quadratic twists by: -19 |