Atkin-Lehner |
2+ 3- 7- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
29526m |
Isogeny class |
Conductor |
29526 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6528 |
Modular degree for the optimal curve |
Δ |
-8680644 = -1 · 22 · 32 · 73 · 19 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 2 4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-59,218] |
[a1,a2,a3,a4,a6] |
Generators |
[9:16:1] |
Generators of the group modulo torsion |
j |
-22164361129/8680644 |
j-invariant |
L |
5.0010868976242 |
L(r)(E,1)/r! |
Ω |
2.1783232000165 |
Real period |
R |
0.19132020513096 |
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 |
88578bp1 |
Quadratic twists by: -3 |