Atkin-Lehner |
2- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20300f |
Isogeny class |
Conductor |
20300 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-31718750000 = -1 · 24 · 510 · 7 · 29 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -4 -4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-833,-12338] |
[a1,a2,a3,a4,a6] |
Generators |
[2258:107264:1] |
Generators of the group modulo torsion |
j |
-409600/203 |
j-invariant |
L |
3.3553015374921 |
L(r)(E,1)/r! |
Ω |
0.43407000083361 |
Real period |
R |
7.7298627664857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81200z1 20300m1 |
Quadratic twists by: -4 5 |