Atkin-Lehner |
2- 3+ 5+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
127650ca |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
796217672812500 = 22 · 37 · 57 · 23 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 1 -1 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-364063,84387281] |
[a1,a2,a3,a4,a6] |
j |
341533564805097001/50957931060 |
j-invariant |
L |
1.9448337681127 |
L(r)(E,1)/r! |
Ω |
0.48620837648092 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25530u1 |
Quadratic twists by: 5 |