Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
101400i |
Isogeny class |
Conductor |
101400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-7623944815500000000 = -1 · 28 · 35 · 59 · 137 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 3 13+ 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-445033,175379437] |
[a1,a2,a3,a4,a6] |
Generators |
[477:8450:1] |
Generators of the group modulo torsion |
j |
-504871936/394875 |
j-invariant |
L |
5.5177110421971 |
L(r)(E,1)/r! |
Ω |
0.2152534115309 |
Real period |
R |
1.6020974447306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999870705 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20280x1 7800q1 |
Quadratic twists by: 5 13 |