Atkin-Lehner |
3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
91035ba |
Isogeny class |
Conductor |
91035 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
11860992 |
Modular degree for the optimal curve |
Δ |
-5.0099586995914E+21 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 2 -1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-26000463,-51142820481] |
[a1,a2,a3,a4,a6] |
Generators |
[1918096405578525042198374:221570561431231227290439319:125641143058864017304] |
Generators of the group modulo torsion |
j |
-110470393399988224/284716796875 |
j-invariant |
L |
14.212124321221 |
L(r)(E,1)/r! |
Ω |
0.033423908914667 |
Real period |
R |
35.434027075013 |
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 |
10115n1 5355l1 |
Quadratic twists by: -3 17 |