Atkin-Lehner |
2- 3+ 5+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67650bw |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-390911296875000 = -1 · 23 · 3 · 59 · 112 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11- 4 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-614472188,-5863007170219] |
[a1,a2,a3,a4,a6] |
Generators |
[387689162327443140:99480375218555600389:5149038272832] |
Generators of the group modulo torsion |
j |
-1642140750896013526054039801/25018323000 |
j-invariant |
L |
9.7886440197614 |
L(r)(E,1)/r! |
Ω |
0.015161563923279 |
Real period |
R |
26.900929848261 |
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 |
13530j2 |
Quadratic twists by: 5 |