Atkin-Lehner |
3+ 5+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
30195a |
Isogeny class |
Conductor |
30195 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8832 |
Modular degree for the optimal curve |
Δ |
-726401115 = -1 · 39 · 5 · 112 · 61 |
Discriminant |
Eigenvalues |
0 3+ 5+ 1 11+ 4 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-378,-3112] |
[a1,a2,a3,a4,a6] |
Generators |
[24:40:1] |
Generators of the group modulo torsion |
j |
-303464448/36905 |
j-invariant |
L |
4.131122824028 |
L(r)(E,1)/r! |
Ω |
0.5377083303331 |
Real period |
R |
1.9207080265378 |
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 |
30195d1 |
Quadratic twists by: -3 |