Atkin-Lehner |
3+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
30723h |
Isogeny class |
Conductor |
30723 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1478400 |
Modular degree for the optimal curve |
Δ |
-539348717110408821 = -1 · 311 · 79 · 11 · 193 |
Discriminant |
Eigenvalues |
1 3+ -3 7- 11+ 4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-22463634,-40989016179] |
[a1,a2,a3,a4,a6] |
Generators |
[841886455628:-85489132277553:68417929] |
Generators of the group modulo torsion |
j |
-31065720163202550799/13365564003 |
j-invariant |
L |
3.487655616549 |
L(r)(E,1)/r! |
Ω |
0.03467364845095 |
Real period |
R |
16.764198809762 |
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 |
92169bm1 30723z1 |
Quadratic twists by: -3 -7 |