Atkin-Lehner |
2+ 3+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890r |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30159360 |
Modular degree for the optimal curve |
Δ |
-1.0676860605661E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 3 -2 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,38822691,126664174853] |
[a1,a2,a3,a4,a6] |
Generators |
[-6840731687188835641:7379218162019754984025:21802049928722881] |
Generators of the group modulo torsion |
j |
8147173387986459/13442186608640 |
j-invariant |
L |
6.1430337064533 |
L(r)(E,1)/r! |
Ω |
0.049252427812644 |
Real period |
R |
31.181375108154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890dn1 127890e1 |
Quadratic twists by: -3 -7 |