Atkin-Lehner |
2+ 3+ 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
104370m |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4139520 |
Modular degree for the optimal curve |
Δ |
-17544763695589200 = -1 · 24 · 37 · 52 · 710 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 0 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-18757862,31261843236] |
[a1,a2,a3,a4,a6] |
Generators |
[2472:1194:1] |
Generators of the group modulo torsion |
j |
-2584005046930125049/62110800 |
j-invariant |
L |
4.3201829304971 |
L(r)(E,1)/r! |
Ω |
0.28231133847314 |
Real period |
R |
3.8257256766006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999651135 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104370bc1 |
Quadratic twists by: -7 |