Atkin-Lehner |
3+ 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
36309f |
Isogeny class |
Conductor |
36309 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
170688 |
Modular degree for the optimal curve |
Δ |
-8163252220851 = -1 · 32 · 710 · 132 · 19 |
Discriminant |
Eigenvalues |
2 3+ -2 7- -3 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-34414,-2449665] |
[a1,a2,a3,a4,a6] |
Generators |
[1118984:52104719:512] |
Generators of the group modulo torsion |
j |
-15957372928/28899 |
j-invariant |
L |
7.0548265427884 |
L(r)(E,1)/r! |
Ω |
0.17524175022093 |
Real period |
R |
10.064420342034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108927q1 36309s1 |
Quadratic twists by: -3 -7 |