Atkin-Lehner |
2+ 3- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
30282i |
Isogeny class |
Conductor |
30282 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
3038859264 = 212 · 3 · 74 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 4 -3 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2378,-44740] |
[a1,a2,a3,a4,a6] |
Generators |
[-753:587:27] |
Generators of the group modulo torsion |
j |
619019807161/1265664 |
j-invariant |
L |
5.6046579949398 |
L(r)(E,1)/r! |
Ω |
0.68378854192818 |
Real period |
R |
1.3660797286676 |
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 |
90846cw1 30282c1 |
Quadratic twists by: -3 -7 |