Atkin-Lehner |
2+ 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
10878k |
Isogeny class |
Conductor |
10878 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-25411396566772272 = -1 · 24 · 3 · 710 · 374 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-55934,-9229212] |
[a1,a2,a3,a4,a6] |
Generators |
[304:1254:1] |
Generators of the group modulo torsion |
j |
-164503536215257/215993306928 |
j-invariant |
L |
3.2382141972776 |
L(r)(E,1)/r! |
Ω |
0.14799430206056 |
Real period |
R |
2.7350835067561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87024ef3 32634cf3 1554c4 |
Quadratic twists by: -4 -3 -7 |