Atkin-Lehner |
2+ 3- 5- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
98490y |
Isogeny class |
Conductor |
98490 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
1198080 |
Modular degree for the optimal curve |
Δ |
-3349863941760000 = -1 · 210 · 313 · 54 · 72 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -6 -4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,24432,-2363042] |
[a1,a2,a3,a4,a6] |
Generators |
[89:-765:1] [377:7587:1] |
Generators of the group modulo torsion |
j |
32917757647062071/68364570240000 |
j-invariant |
L |
10.19118951294 |
L(r)(E,1)/r! |
Ω |
0.23240224915817 |
Real period |
R |
0.42164913290495 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001275 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98490a1 |
Quadratic twists by: -7 |