Atkin-Lehner |
19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
101251d |
Isogeny class |
Conductor |
101251 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
2207520 |
Modular degree for the optimal curve |
Δ |
-5531509770301501579 = -1 · 193 · 738 |
Discriminant |
Eigenvalues |
-2 0 -1 -1 -5 6 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,389017,63896042] |
[a1,a2,a3,a4,a6] |
Generators |
[0:7993:1] [41:8939:1] |
Generators of the group modulo torsion |
j |
8073216/6859 |
j-invariant |
L |
5.1897985923624 |
L(r)(E,1)/r! |
Ω |
0.15618079468833 |
Real period |
R |
3.6921587540038 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999952222 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101251c1 |
Quadratic twists by: 73 |