Atkin-Lehner |
2+ 3+ 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33810o |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
39360 |
Modular degree for the optimal curve |
Δ |
-6212587500 = -1 · 22 · 32 · 55 · 74 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 -2 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1397,19881] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:179:1] [20:-31:1] |
Generators of the group modulo torsion |
j |
-125720594041/2587500 |
j-invariant |
L |
5.773786245957 |
L(r)(E,1)/r! |
Ω |
1.3412980881001 |
Real period |
R |
0.071743761971845 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101430dn1 33810bg1 |
Quadratic twists by: -3 -7 |