Atkin-Lehner |
2+ 3+ 13+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
30498b |
Isogeny class |
Conductor |
30498 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
911040 |
Modular degree for the optimal curve |
Δ |
-2974076662889322666 = -1 · 2 · 313 · 134 · 175 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -3 4 2 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-290674,-102702266] |
[a1,a2,a3,a4,a6] |
Generators |
[2391:112288:1] |
Generators of the group modulo torsion |
j |
-2716092821898829006633/2974076662889322666 |
j-invariant |
L |
3.0396197535945 |
L(r)(E,1)/r! |
Ω |
0.098563452180396 |
Real period |
R |
3.0839217644602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91494v1 |
Quadratic twists by: -3 |