Atkin-Lehner |
3- 5- 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
42735o |
Isogeny class |
Conductor |
42735 |
Conductor |
∏ cp |
2304 |
Product of Tamagawa factors cp |
Δ |
3.9725904263658E+24 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-73819845460,7719825169322975] |
[a1,a2,a3,a4,a6] |
Generators |
[1907195:2607522815:1] |
Generators of the group modulo torsion |
j |
44488023057247349559188379390804037441/3972590426365825799390625 |
j-invariant |
L |
5.1505971717676 |
L(r)(E,1)/r! |
Ω |
0.043800085505272 |
Real period |
R |
3.266480921434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
128205x2 |
Quadratic twists by: -3 |