Atkin-Lehner |
2+ 3- 5- 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
34770m |
Isogeny class |
Conductor |
34770 |
Conductor |
∏ cp |
221 |
Product of Tamagawa factors cp |
deg |
14851200 |
Modular degree for the optimal curve |
Δ |
-2.175526966485E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 5 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-90066368,-398251802194] |
[a1,a2,a3,a4,a6] |
Generators |
[17760:-1907318:1] |
Generators of the group modulo torsion |
j |
-80800054674203276113666329721/21755269664849882812500000 |
j-invariant |
L |
5.2669222020848 |
L(r)(E,1)/r! |
Ω |
0.02416419905267 |
Real period |
R |
0.98626182919648 |
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 |
104310bo1 |
Quadratic twists by: -3 |