Atkin-Lehner |
2- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
100672dw |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
81500110851208192 = 210 · 118 · 135 |
Discriminant |
Eigenvalues |
2- -1 0 -4 11- 13- -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-195213,-30158291] |
[a1,a2,a3,a4,a6] |
Generators |
[565:-6292:1] [-215:1352:1] |
Generators of the group modulo torsion |
j |
3748096000/371293 |
j-invariant |
L |
8.3489734920219 |
L(r)(E,1)/r! |
Ω |
0.22857702358257 |
Real period |
R |
1.2175288316142 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999980013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672be1 25168a1 100672cv1 |
Quadratic twists by: -4 8 -11 |