Atkin-Lehner |
2+ 3+ 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
38430b |
Isogeny class |
Conductor |
38430 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
826554082959360000 = 216 · 39 · 54 · 75 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-519090,137273300] |
[a1,a2,a3,a4,a6] |
Generators |
[-335:16705:1] |
Generators of the group modulo torsion |
j |
785888398717223283/41993297920000 |
j-invariant |
L |
3.4708103150188 |
L(r)(E,1)/r! |
Ω |
0.27822389081339 |
Real period |
R |
1.2474882386525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38430bd1 |
Quadratic twists by: -3 |