Atkin-Lehner |
2- 3- 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
97680ca |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
34836480 |
Modular degree for the optimal curve |
Δ |
2.29333907333E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-485445016,-4110494159980] |
[a1,a2,a3,a4,a6] |
Generators |
[399234186265863026491694432714015812518166:109783886322285175899963383111074818732589056:4860650449289709309870975948048565649] |
Generators of the group modulo torsion |
j |
3088758153690415802056122649/5598972346997145600000 |
j-invariant |
L |
7.8473057071689 |
L(r)(E,1)/r! |
Ω |
0.03216709426961 |
Real period |
R |
60.988611759955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12210d1 |
Quadratic twists by: -4 |