Atkin-Lehner |
2- 3+ 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
115440bp |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-5328172193230848000 = -1 · 215 · 3 · 53 · 132 · 376 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,36504,111012720] |
[a1,a2,a3,a4,a6] |
Generators |
[26:10582:1] [170:11050:1] |
Generators of the group modulo torsion |
j |
1313328092999831/1300823289363000 |
j-invariant |
L |
9.4226613740608 |
L(r)(E,1)/r! |
Ω |
0.18876104787492 |
Real period |
R |
8.3197438232105 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001422 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430t4 |
Quadratic twists by: -4 |