Atkin-Lehner |
2+ 3+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
98394o |
Isogeny class |
Conductor |
98394 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6571008 |
Modular degree for the optimal curve |
Δ |
-6.399132682224E+20 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -2 -2 3 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3759349,-3059729411] |
[a1,a2,a3,a4,a6] |
Generators |
[30326:1527401:8] |
Generators of the group modulo torsion |
j |
-75030724618393/8171436816 |
j-invariant |
L |
3.1204273846957 |
L(r)(E,1)/r! |
Ω |
0.053880430978959 |
Real period |
R |
2.4130803173247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016256 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98394l1 |
Quadratic twists by: -23 |