Atkin-Lehner |
2- 3+ 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
30282q |
Isogeny class |
Conductor |
30282 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
2550175676244 = 22 · 35 · 74 · 1033 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ -4 3 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-504750,-138236841] |
[a1,a2,a3,a4,a6] |
Generators |
[-48295723:24475905:117649] |
Generators of the group modulo torsion |
j |
5923257168404841601/1062130644 |
j-invariant |
L |
7.7788493556483 |
L(r)(E,1)/r! |
Ω |
0.17911438778016 |
Real period |
R |
7.2382509784715 |
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 |
90846u1 30282bh1 |
Quadratic twists by: -3 -7 |