Atkin-Lehner |
2+ 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
34320s |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
2396160 |
Modular degree for the optimal curve |
Δ |
-3.4382859265353E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1538696,-8952029820] |
[a1,a2,a3,a4,a6] |
Generators |
[4984:327426:1] |
Generators of the group modulo torsion |
j |
-393443624385770851876/33577011001321734375 |
j-invariant |
L |
7.0154252025389 |
L(r)(E,1)/r! |
Ω |
0.051371183036445 |
Real period |
R |
2.8450715572554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17160l1 102960be1 |
Quadratic twists by: -4 -3 |