Atkin-Lehner |
2- 5+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
70070bl |
Isogeny class |
Conductor |
70070 |
Conductor |
∏ cp |
704 |
Product of Tamagawa factors cp |
Δ |
145718610246809600 = 211 · 52 · 77 · 112 · 134 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11+ 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3736986,2780175460] |
[a1,a2,a3,a4,a6] |
Generators |
[-2124:34774:1] [29676:-40318:27] |
Generators of the group modulo torsion |
j |
49056876391028985361/1238587750400 |
j-invariant |
L |
10.561394410139 |
L(r)(E,1)/r! |
Ω |
0.30233715258946 |
Real period |
R |
0.19848014797704 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010w2 |
Quadratic twists by: -7 |