Atkin-Lehner |
3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
40425bv |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
6771670784033203125 = 37 · 511 · 78 · 11 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ 11- -3 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-508783,-62109281] |
[a1,a2,a3,a4,a6] |
Generators |
[-337:8437:1] |
Generators of the group modulo torsion |
j |
161702969344/75178125 |
j-invariant |
L |
5.8587192271816 |
L(r)(E,1)/r! |
Ω |
0.18694408964521 |
Real period |
R |
1.1192649780816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275cl1 8085a1 40425u1 |
Quadratic twists by: -3 5 -7 |