Atkin-Lehner |
2- 3+ 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
107310ct |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
160279726924800 = 210 · 36 · 52 · 76 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -6 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15975,-489315] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:578:1] |
Generators of the group modulo torsion |
j |
3832302404449/1362355200 |
j-invariant |
L |
8.171339878575 |
L(r)(E,1)/r! |
Ω |
0.43713643303696 |
Real period |
R |
0.9346441139198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999953706 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2190n1 |
Quadratic twists by: -7 |