Atkin-Lehner |
3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
88935bj |
Isogeny class |
Conductor |
88935 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-175490601923037555 = -1 · 37 · 5 · 77 · 117 |
Discriminant |
Eigenvalues |
2 3+ 5- 7- 11- -2 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-749030,250577711] |
[a1,a2,a3,a4,a6] |
j |
-222985990144/841995 |
j-invariant |
L |
2.5801018417962 |
L(r)(E,1)/r! |
Ω |
0.32251274051054 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12705l1 8085m1 |
Quadratic twists by: -7 -11 |