Atkin-Lehner |
2+ 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70070l |
Isogeny class |
Conductor |
70070 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
716800 |
Modular degree for the optimal curve |
Δ |
9016509064062500 = 22 · 58 · 79 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 11- 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-143939,20504586] |
[a1,a2,a3,a4,a6] |
Generators |
[188:218:1] |
Generators of the group modulo torsion |
j |
8172829864207/223437500 |
j-invariant |
L |
1.6604233224672 |
L(r)(E,1)/r! |
Ω |
0.40976101415845 |
Real period |
R |
2.0260874821605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972268 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70070z1 |
Quadratic twists by: -7 |