Atkin-Lehner |
2+ 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
97088a |
Isogeny class |
Conductor |
97088 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
29696 |
Modular degree for the optimal curve |
Δ |
-97088 = -1 · 26 · 37 · 41 |
Discriminant |
Eigenvalues |
2+ 1 0 -4 -3 -5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2228,-41230] |
[a1,a2,a3,a4,a6] |
Generators |
[60497:14880044:1] |
Generators of the group modulo torsion |
j |
-19119838024000/1517 |
j-invariant |
L |
3.8255474116145 |
L(r)(E,1)/r! |
Ω |
0.3474357610704 |
Real period |
R |
11.010804962839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024448 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97088b1 48544c1 |
Quadratic twists by: -4 8 |