Atkin-Lehner |
2- 3- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
61380r |
Isogeny class |
Conductor |
61380 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
9633792 |
Modular degree for the optimal curve |
Δ |
-5.8767847984607E+24 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ -4 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,43207188,-40666564991] |
[a1,a2,a3,a4,a6] |
Generators |
[12034:1332225:8] |
Generators of the group modulo torsion |
j |
764793536434433585954816/503839574627972281875 |
j-invariant |
L |
6.0432227955118 |
L(r)(E,1)/r! |
Ω |
0.043183866937705 |
Real period |
R |
5.830903243757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000316 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20460l1 |
Quadratic twists by: -3 |