Atkin-Lehner |
2- 3+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
97344ef |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
2767587264 = 26 · 39 · 133 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 0 13- 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-351,0] |
[a1,a2,a3,a4,a6] |
Generators |
[242:1045:8] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
6.094725471904 |
L(r)(E,1)/r! |
Ω |
1.2115614234568 |
Real period |
R |
5.0304717239819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999825048 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344ef1 48672bi2 97344ee1 97344ed1 |
Quadratic twists by: -4 8 -3 13 |