Atkin-Lehner |
3+ 7- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
70707d |
Isogeny class |
Conductor |
70707 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-714211407 = -1 · 32 · 73 · 132 · 372 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 0 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,136,-1077] |
[a1,a2,a3,a4,a6] |
Generators |
[62:151:8] |
Generators of the group modulo torsion |
j |
801765089/2082249 |
j-invariant |
L |
6.6003243708628 |
L(r)(E,1)/r! |
Ω |
0.82764128264076 |
Real period |
R |
1.9937153055896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998608 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70707o1 |
Quadratic twists by: -7 |