Atkin-Lehner |
2- 3+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650cm |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-2051035522200 = -1 · 23 · 39 · 52 · 75 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 6 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2945,93097] |
[a1,a2,a3,a4,a6] |
Generators |
[73:476:1] |
Generators of the group modulo torsion |
j |
-5738654115/4168136 |
j-invariant |
L |
10.917925486632 |
L(r)(E,1)/r! |
Ω |
0.76127010223863 |
Real period |
R |
2.3902872842375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013853 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97650f1 97650o1 |
Quadratic twists by: -3 5 |