Atkin-Lehner |
2+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23030m |
Isogeny class |
Conductor |
23030 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-2216775680 = -1 · 212 · 5 · 72 · 472 |
Discriminant |
Eigenvalues |
2+ 3 5- 7- -2 -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-814,9428] |
[a1,a2,a3,a4,a6] |
Generators |
[228:1390:27] |
Generators of the group modulo torsion |
j |
-1218150432009/45240320 |
j-invariant |
L |
7.2602337851345 |
L(r)(E,1)/r! |
Ω |
1.4517017383408 |
Real period |
R |
1.2502970812435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115150cs1 23030c1 |
Quadratic twists by: 5 -7 |