Atkin-Lehner |
2- 3+ 5- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
29370bb |
Isogeny class |
Conductor |
29370 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
4121120866959360000 = 220 · 38 · 54 · 112 · 892 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11- 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-676684800,-6775569714783] |
[a1,a2,a3,a4,a6] |
Generators |
[-29334336375:14619700873:1953125] |
Generators of the group modulo torsion |
j |
34267543755470330068019895091201/4121120866959360000 |
j-invariant |
L |
8.9405451721774 |
L(r)(E,1)/r! |
Ω |
0.029600765973353 |
Real period |
R |
7.5509407258461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
88110k2 |
Quadratic twists by: -3 |