Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
30400br |
Isogeny class |
Conductor |
30400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-14384365568000000 = -1 · 227 · 56 · 193 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 -6 5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,15167,-5730463] |
[a1,a2,a3,a4,a6] |
Generators |
[187:1900:1] |
Generators of the group modulo torsion |
j |
94196375/3511808 |
j-invariant |
L |
3.4373693624654 |
L(r)(E,1)/r! |
Ω |
0.19015214462514 |
Real period |
R |
1.5064118652819 |
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 |
30400d2 7600l2 1216o2 |
Quadratic twists by: -4 8 5 |