Atkin-Lehner |
2+ 3+ 5- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
127650s |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5.518011293658E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 0 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2042930,1064711700] |
[a1,a2,a3,a4,a6] |
Generators |
[-70317:73890510:2197] |
Generators of the group modulo torsion |
j |
7543527697555808356637/441440903492643744 |
j-invariant |
L |
4.8494415858888 |
L(r)(E,1)/r! |
Ω |
0.19568295647431 |
Real period |
R |
12.391067558608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000244164 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127650dr2 |
Quadratic twists by: 5 |