Atkin-Lehner |
2- 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
84270bf |
Isogeny class |
Conductor |
84270 |
Conductor |
∏ cp |
35 |
Product of Tamagawa factors cp |
deg |
28848960 |
Modular degree for the optimal curve |
Δ |
-1.1804904249672E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 1 -7 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-79069195,-317146618855] |
[a1,a2,a3,a4,a6] |
Generators |
[14709893:523427798:1331] |
Generators of the group modulo torsion |
j |
-312598556569/67500000 |
j-invariant |
L |
10.762935324018 |
L(r)(E,1)/r! |
Ω |
0.025025489134311 |
Real period |
R |
12.287969115113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008328 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84270p1 |
Quadratic twists by: 53 |