Atkin-Lehner |
2+ 3+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
108360h |
Isogeny class |
Conductor |
108360 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
6021120 |
Modular degree for the optimal curve |
Δ |
-892187219669760 = -1 · 28 · 39 · 5 · 77 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 -3 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-148929948,699553881108] |
[a1,a2,a3,a4,a6] |
Generators |
[7038:1134:1] |
Generators of the group modulo torsion |
j |
-72500093714251933498368/177061745 |
j-invariant |
L |
5.6689479678408 |
L(r)(E,1)/r! |
Ω |
0.23142266174692 |
Real period |
R |
0.43742999462789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002639 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108360bd1 |
Quadratic twists by: -3 |