Atkin-Lehner |
2+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59584bg |
Isogeny class |
Conductor |
59584 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-4687828877312 = -1 · 221 · 76 · 19 |
Discriminant |
Eigenvalues |
2+ 1 0 7- 6 5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48673,-4150721] |
[a1,a2,a3,a4,a6] |
Generators |
[463482279:3949815232:1601613] |
Generators of the group modulo torsion |
j |
-413493625/152 |
j-invariant |
L |
8.3300537956977 |
L(r)(E,1)/r! |
Ω |
0.16070789407569 |
Real period |
R |
12.958376817278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999056 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59584cl1 1862b1 1216b1 |
Quadratic twists by: -4 8 -7 |