Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
40425cm |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
1136953125 = 33 · 57 · 72 · 11 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 11+ -5 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-408,2594] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-38:1] |
Generators of the group modulo torsion |
j |
9834496/1485 |
j-invariant |
L |
2.9643269656475 |
L(r)(E,1)/r! |
Ω |
1.4808874653873 |
Real period |
R |
0.16681027621003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275es1 8085h1 40425g1 |
Quadratic twists by: -3 5 -7 |