Atkin-Lehner |
2+ 3- 5+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20010m |
Isogeny class |
Conductor |
20010 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-15667830000 = -1 · 24 · 34 · 54 · 23 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -6 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-49,-6028] |
[a1,a2,a3,a4,a6] |
Generators |
[31:134:1] |
Generators of the group modulo torsion |
j |
-12633057289/15667830000 |
j-invariant |
L |
2.9304034678019 |
L(r)(E,1)/r! |
Ω |
0.56082573953447 |
Real period |
R |
0.65314483208152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60030bo1 100050bo1 |
Quadratic twists by: -3 5 |