Atkin-Lehner |
5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
46255a |
Isogeny class |
Conductor |
46255 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
907200 |
Modular degree for the optimal curve |
Δ |
-114797926836395 = -1 · 5 · 113 · 297 |
Discriminant |
Eigenvalues |
-2 3 5+ 4 11+ -1 8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-111853,-14407802] |
[a1,a2,a3,a4,a6] |
Generators |
[656389422:4692465712:1601613] |
Generators of the group modulo torsion |
j |
-260182831104/192995 |
j-invariant |
L |
6.1174016928672 |
L(r)(E,1)/r! |
Ω |
0.13052338557113 |
Real period |
R |
11.717060636404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1595b1 |
Quadratic twists by: 29 |