Atkin-Lehner |
2- 5- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70070ci |
Isogeny class |
Conductor |
70070 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-3123280886225500 = -1 · 22 · 53 · 76 · 11 · 136 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11- 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-70365,7641647] |
[a1,a2,a3,a4,a6] |
Generators |
[195:1078:1] |
Generators of the group modulo torsion |
j |
-327495950129089/26547449500 |
j-invariant |
L |
15.908814043565 |
L(r)(E,1)/r! |
Ω |
0.44012150390077 |
Real period |
R |
3.0122011578111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1430g3 |
Quadratic twists by: -7 |