Atkin-Lehner |
3- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
70395p |
Isogeny class |
Conductor |
70395 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
492480 |
Modular degree for the optimal curve |
Δ |
3228999923170125 = 32 · 53 · 132 · 198 |
Discriminant |
Eigenvalues |
0 3- 5- 0 -1 13+ -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-283505,-58131994] |
[a1,a2,a3,a4,a6] |
Generators |
[-300:97:1] |
Generators of the group modulo torsion |
j |
148381106176/190125 |
j-invariant |
L |
6.1122683693633 |
L(r)(E,1)/r! |
Ω |
0.20691532710518 |
Real period |
R |
2.4616624802609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000238 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70395i1 |
Quadratic twists by: -19 |