Atkin-Lehner |
2+ 5- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
93800m |
Isogeny class |
Conductor |
93800 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1315200 |
Modular degree for the optimal curve |
Δ |
-7570336673200000000 = -1 · 210 · 58 · 710 · 67 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- -2 2 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-236208,139479088] |
[a1,a2,a3,a4,a6] |
Generators |
[308:9800:1] |
Generators of the group modulo torsion |
j |
-3643756666180/18925841683 |
j-invariant |
L |
4.5886307622347 |
L(r)(E,1)/r! |
Ω |
0.20325325430647 |
Real period |
R |
0.37626546055062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93800u1 |
Quadratic twists by: 5 |