Atkin-Lehner |
3- 5+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
93795s |
Isogeny class |
Conductor |
93795 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
243360 |
Modular degree for the optimal curve |
Δ |
-4074574951395 = -1 · 33 · 5 · 138 · 37 |
Discriminant |
Eigenvalues |
0 3- 5+ -4 0 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-16111,787726] |
[a1,a2,a3,a4,a6] |
Generators |
[226:2956:1] |
Generators of the group modulo torsion |
j |
-566984704/4995 |
j-invariant |
L |
4.2271633906353 |
L(r)(E,1)/r! |
Ω |
0.78503963046138 |
Real period |
R |
5.3846496738852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001146 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
93795w1 |
Quadratic twists by: 13 |