Atkin-Lehner |
2+ 3- 37- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
40626g |
Isogeny class |
Conductor |
40626 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-186830385988608 = -1 · 210 · 310 · 373 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 1 4 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,14292,-5936] |
[a1,a2,a3,a4,a6] |
Generators |
[24:580:1] |
Generators of the group modulo torsion |
j |
442851493301567/256283108352 |
j-invariant |
L |
3.0087612453124 |
L(r)(E,1)/r! |
Ω |
0.33898392488563 |
Real period |
R |
0.73965189901249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999869 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13542h1 |
Quadratic twists by: -3 |