Atkin-Lehner |
2+ 5- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70070u |
Isogeny class |
Conductor |
70070 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
84672 |
Modular degree for the optimal curve |
Δ |
-139974074240 = -1 · 27 · 5 · 76 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 11- 13+ -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1297,-542] |
[a1,a2,a3,a4,a6] |
j |
2053225511/1189760 |
j-invariant |
L |
1.2296994836112 |
L(r)(E,1)/r! |
Ω |
0.61484974691244 |
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 |
1430a1 |
Quadratic twists by: -7 |