Atkin-Lehner |
2- 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
97608n |
Isogeny class |
Conductor |
97608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-31762764408259584 = -1 · 210 · 33 · 712 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 3 4 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-321456,-70565508] |
[a1,a2,a3,a4,a6] |
Generators |
[3210687286:692921834276:68921] |
Generators of the group modulo torsion |
j |
-30493092792964/263651409 |
j-invariant |
L |
6.0911403148139 |
L(r)(E,1)/r! |
Ω |
0.10019936836622 |
Real period |
R |
15.197551676552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13944m1 |
Quadratic twists by: -7 |