Atkin-Lehner |
3+ 5+ 23+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
122475b |
Isogeny class |
Conductor |
122475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
39907237389328125 = 35 · 56 · 236 · 71 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2294063,-1338305344] |
[a1,a2,a3,a4,a6] |
Generators |
[3095868701530:-219279889455229:571787000] |
Generators of the group modulo torsion |
j |
85451505610852693801/2554063192917 |
j-invariant |
L |
2.7220463082549 |
L(r)(E,1)/r! |
Ω |
0.12267300317933 |
Real period |
R |
22.189448612542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029613 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4899c2 |
Quadratic twists by: 5 |