Atkin-Lehner |
3+ 7- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
70707a |
Isogeny class |
Conductor |
70707 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
734923537803 = 33 · 76 · 132 · 372 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- 0 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7547,-252106] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:79:1] [-46:41:1] |
Generators of the group modulo torsion |
j |
404075127457/6246747 |
j-invariant |
L |
6.6342598150977 |
L(r)(E,1)/r! |
Ω |
0.51269903934371 |
Real period |
R |
6.4699358746514 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1443e2 |
Quadratic twists by: -7 |