Atkin-Lehner |
2- 5- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70070ci |
Isogeny class |
Conductor |
70070 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-8468431491520 = -1 · 26 · 5 · 76 · 113 · 132 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11- 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,5095,5095] |
[a1,a2,a3,a4,a6] |
Generators |
[125:1554:1] |
Generators of the group modulo torsion |
j |
124326214271/71980480 |
j-invariant |
L |
15.908814043565 |
L(r)(E,1)/r! |
Ω |
0.44012150390077 |
Real period |
R |
1.0040670526037 |
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 |
1430g1 |
Quadratic twists by: -7 |