Atkin-Lehner |
2+ 3+ 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
104370q |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
235605245460480 = 215 · 310 · 5 · 73 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -3 5 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-101182,12323956] |
[a1,a2,a3,a4,a6] |
Generators |
[175:34:1] |
Generators of the group modulo torsion |
j |
333999700505432767/686895759360 |
j-invariant |
L |
3.8251933493427 |
L(r)(E,1)/r! |
Ω |
0.55787129714804 |
Real period |
R |
1.7141916677506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000084569 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104370bk1 |
Quadratic twists by: -7 |