Atkin-Lehner |
2- 3+ 5- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
97680bn |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10967040 |
Modular degree for the optimal curve |
Δ |
-2.1544174142754E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 11+ -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,9959355,-18774540135] |
[a1,a2,a3,a4,a6] |
Generators |
[91493422830394105701:383894914182490360266:59802617462262193] |
Generators of the group modulo torsion |
j |
426753746270989906018304/841569302451324128715 |
j-invariant |
L |
6.8393274063819 |
L(r)(E,1)/r! |
Ω |
0.052074586919446 |
Real period |
R |
32.834285449837 |
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 |
24420s1 |
Quadratic twists by: -4 |