Atkin-Lehner |
7- 31+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
56203b |
Isogeny class |
Conductor |
56203 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1293600 |
Modular degree for the optimal curve |
Δ |
7840075556406373 = 76 · 312 · 375 |
Discriminant |
Eigenvalues |
-2 1 4 7- -3 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1312726,-579329712] |
[a1,a2,a3,a4,a6] |
Generators |
[-5286:921:8] |
Generators of the group modulo torsion |
j |
2126464142970105856/66639542677 |
j-invariant |
L |
4.4529128568023 |
L(r)(E,1)/r! |
Ω |
0.14104471641518 |
Real period |
R |
3.1570929915392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998259 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1147b1 |
Quadratic twists by: -7 |