Atkin-Lehner |
2- 3- 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
97680cq |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
7401799680000 = 218 · 3 · 54 · 11 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5296,-71596] |
[a1,a2,a3,a4,a6] |
Generators |
[319:5550:1] |
Generators of the group modulo torsion |
j |
4011342040369/1807080000 |
j-invariant |
L |
5.7495740061274 |
L(r)(E,1)/r! |
Ω |
0.58377815639142 |
Real period |
R |
2.4622255612951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019056 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12210s1 |
Quadratic twists by: -4 |