Atkin-Lehner |
2+ 3+ 5- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
62730d |
Isogeny class |
Conductor |
62730 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-107453177856000 = -1 · 216 · 33 · 53 · 172 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 6 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8781,-387467] |
[a1,a2,a3,a4,a6] |
Generators |
[89:-1090:1] |
Generators of the group modulo torsion |
j |
2773090600403157/3979747328000 |
j-invariant |
L |
4.6355172452064 |
L(r)(E,1)/r! |
Ω |
0.31563154615089 |
Real period |
R |
1.2238735590657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000675 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62730s1 |
Quadratic twists by: -3 |