Atkin-Lehner |
5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
97175f |
Isogeny class |
Conductor |
97175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
-5.7256489816284E+20 |
Discriminant |
Eigenvalues |
0 2 5+ -1 0 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2473033,1889234843] |
[a1,a2,a3,a4,a6] |
Generators |
[2973:144241:1] [24708:2015593:64] |
Generators of the group modulo torsion |
j |
-22178567028736/7591796875 |
j-invariant |
L |
12.958358163931 |
L(r)(E,1)/r! |
Ω |
0.15429997780556 |
Real period |
R |
10.497699309929 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997521 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19435a1 7475a1 |
Quadratic twists by: 5 13 |