Atkin-Lehner |
2- 3+ 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
30282t |
Isogeny class |
Conductor |
30282 |
Conductor |
∏ cp |
62 |
Product of Tamagawa factors cp |
deg |
357120 |
Modular degree for the optimal curve |
Δ |
-164103456917815296 = -1 · 231 · 3 · 74 · 1032 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ -1 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-54587,-20121655] |
[a1,a2,a3,a4,a6] |
Generators |
[371:3110:1] |
Generators of the group modulo torsion |
j |
-7492033837006033/68347962064896 |
j-invariant |
L |
5.6982382917831 |
L(r)(E,1)/r! |
Ω |
0.13660402866243 |
Real period |
R |
0.67279911231187 |
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 |
90846w1 30282bo1 |
Quadratic twists by: -3 -7 |