Atkin-Lehner |
3- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97461g |
Isogeny class |
Conductor |
97461 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
4730880 |
Modular degree for the optimal curve |
Δ |
2148634526870737269 = 310 · 78 · 135 · 17 |
Discriminant |
Eigenvalues |
-2 3- -2 7+ -5 13- 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6255291,6021290826] |
[a1,a2,a3,a4,a6] |
Generators |
[833:37264:1] |
Generators of the group modulo torsion |
j |
6441016595550208/511270461 |
j-invariant |
L |
2.2216441210016 |
L(r)(E,1)/r! |
Ω |
0.24839961662919 |
Real period |
R |
0.29812769249599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999339461 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32487k1 97461q1 |
Quadratic twists by: -3 -7 |