Atkin-Lehner |
3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
40425ba |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
277200 |
Modular degree for the optimal curve |
Δ |
-6019262919140625 = -1 · 35 · 58 · 78 · 11 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 11- 4 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-117013,-15900844] |
[a1,a2,a3,a4,a6] |
Generators |
[1721347958446176:-26645320985873972:3360844835739] |
Generators of the group modulo torsion |
j |
-78683185/2673 |
j-invariant |
L |
3.3227294619194 |
L(r)(E,1)/r! |
Ω |
0.12880841362364 |
Real period |
R |
25.795903919971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275ex1 40425bw1 40425de1 |
Quadratic twists by: -3 5 -7 |