Atkin-Lehner |
3- 5- 41- 53- |
Signs for the Atkin-Lehner involutions |
Class |
97785i |
Isogeny class |
Conductor |
97785 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
12265344 |
Modular degree for the optimal curve |
Δ |
-4.4807074599491E+22 |
Discriminant |
Eigenvalues |
1 3- 5- -4 -6 3 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18899079,-33218187490] |
[a1,a2,a3,a4,a6] |
Generators |
[9446:789652:1] |
Generators of the group modulo torsion |
j |
-1024042822584020867289969/61463751165283203125 |
j-invariant |
L |
5.2073026835202 |
L(r)(E,1)/r! |
Ω |
0.03607876311776 |
Real period |
R |
2.0046044333476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999843297 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10865a1 |
Quadratic twists by: -3 |