Atkin-Lehner |
3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
40425bb |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
399168 |
Modular degree for the optimal curve |
Δ |
18878334678559125 = 39 · 53 · 78 · 113 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7+ 11- -1 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-98898,-9947302] |
[a1,a2,a3,a4,a6] |
Generators |
[-163:-1348:1] |
Generators of the group modulo torsion |
j |
148455501824/26198073 |
j-invariant |
L |
2.5962503671263 |
L(r)(E,1)/r! |
Ω |
0.27247255109953 |
Real period |
R |
0.5293602270203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275fa1 40425cx1 40425dh1 |
Quadratic twists by: -3 5 -7 |