Atkin-Lehner |
2+ 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680cq |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-6310907244869713920 = -1 · 217 · 34 · 5 · 7 · 198 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,310079,-100850785] |
[a1,a2,a3,a4,a6] |
Generators |
[62005:-1654824:125] [461:11844:1] |
Generators of the group modulo torsion |
j |
25155297018905758/48148401221235 |
j-invariant |
L |
13.484771345781 |
L(r)(E,1)/r! |
Ω |
0.12446024452786 |
Real period |
R |
6.7716258473524 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003544 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680dh5 15960m6 |
Quadratic twists by: -4 8 |