Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275dk |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7.6482538932109E+22 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 11+ 1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-9589085625,-361421436955469] |
[a1,a2,a3,a4,a6] |
Generators |
[-173832608285240435540695497013465939264443891862462706563042478635119038170:1404386439584355183053144877748708842499902271233443163694486324763373953:3074678737213546731190715362260890606909653695438452664707356558543000] |
Generators of the group modulo torsion |
j |
116423188793017446400/91315917 |
j-invariant |
L |
13.510482664374 |
L(r)(E,1)/r! |
Ω |
0.015256512020216 |
Real period |
R |
110.6943927163 |
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 |
40425z2 121275ge1 17325ba2 |
Quadratic twists by: -3 5 -7 |